Unsquare me

Algebra Level 1

Evaluate

3 3 2 2 7 2 33 27 . \frac{ 33^2 - 27^2 } { 33 - 27 }.


The answer is 60.

This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try refreshing the page, (b) enabling javascript if it is disabled on your browser and, finally, (c) loading the non-javascript version of this page . We're sorry about the hassle.

38 solutions

Prasun Biswas
Dec 16, 2013

We just have to use the identity a 2 b 2 = ( a + b ) ( a b ) a^{2}-b^{2} = (a+b)(a-b) to split the numerator as follows:

( 3 3 2 2 7 2 ) ( 33 27 ) \frac{(33^{2}-27^{2})}{(33-27)} = ( 33 27 ) ( 33 + 27 ) ( 33 27 ) \frac{(33-27)(33+27)}{(33-27)} = ( 33 + 27 ) = 60 (33+27) = 60

superb

Bilal Rashid Khan - 7 years, 5 months ago
Matheus Jun Ota
Dec 16, 2013

$$\frac{33^2 - 27^2}{33-27} = \frac{(33+27)(33-27)}{33-27} = 33+27 = 60$$

use formulae

Naveenkumar Nani - 7 years, 5 months ago
Sharat Bhat
Dec 16, 2013

(33^2-27^2)/33-27 =(33+27)(33-27)/33-27 by using the identity:- a^2-b^2=(a+b)(a-b) =33+27 =60

Mohammad Khaza
Jul 29, 2017

( 3 3 2 2 7 2 ) ( 33 27 ) \frac{(33^{2} -27^{2})}{(33-27)}

= ( 33 + 27 ) ( 33 27 ) 33 27 \frac{(33+27)(33-27)}{33-27}

= ( 33 + 27 ) {(33+27)}

= 60 60

Adeel Khalid
Dec 16, 2013

(33^2) - (27^2) = (33 - 27) (33 +27 )

360=360

Mehreen Gull - 7 years, 5 months ago
Marcus Vinicius
Dec 16, 2013

remeber / lembre-se: x.x - y.y = (x +y).(x-y), then/ portanto: (x + y). (x -y)/ (x -y) = x+y = 33+27= 60

Amogh Joshi
Dec 16, 2013

apply a^2 - b^2=(a+b)(a-b)

Rahul Das
Dec 16, 2013

(33x33 - 27x27)/(33-27) = (33+27)(33-27)/(33-27) = (33+27) = 60 (Ans.)

Fahad Hridoy
Dec 15, 2013

33^2-27^2/33-27 =(33+27)(33-27)/(33-27) =33+27=60

Josh Speckman
Dec 15, 2013

We can factor the numerator as ( 33 + 27 ) ( 33 27 ) (33+27)(33-27) . Dividing by 33 27 33-27 yields 33 + 27 = 60 33+27= \fbox{60}

THIS PROBLEM IS AN APPLICATION OF IDENTITY a^{2})\ - \(b^{2} = ( a + b )( a - b ) .

Devesh Rai - 7 years, 5 months ago

the formatting was not proper sorry !! ( to me )

Devesh Rai - 7 years, 5 months ago

( 3 3 2 2 7 2 ) ( 33 27 ) \frac{(33^2 - 27^2)}{(33 - 27)} ........................This is the question

= ( 33 + 27 ) ( 33 27 ) ( 33 27 ) \frac{(33 + 27)(33 - 27)}{(33 - 27)} ................factorized using the identity a 2 b 2 = ( a + b ) ( a b ) a^2 - b^2 = (a + b)(a - b) ................therfore the remaining is only:

= ( 33 + 27 ) (33 + 27) = 60 60 .................. The Answer

Bharath Spidy
Jul 1, 2014

1089 - 729 = 360

33 - 27 = 6

360/6=60

Iranna Hubballi
Apr 21, 2014

(33^2-27^2)/33-27 a^2-b^2=(a+b)(a-b),

(33+27)(33-27)/33-27,

33+27=60

Pappu Ebilish
Apr 5, 2014

{33^2 - 27^2}{33-27} = \frac{(33+27)(33-27)}{33-27} = 33+27 = 60

Nishanth Nagaralu
Mar 18, 2014

(33^2-27^2)/33-27 = (3^2 11^2 - 3^2 9^2)/(3 11-3 9) = 3^2(11^2-9^2)/3(2) = 3(121-81)/2 = 60

Thine Canedo
Mar 18, 2014

(33-27)(33-+27)/(33-27)=(33+27)=(60)

Narendra Borhade
Jan 28, 2014

as we know (a^2 - b^2) = (a + b) (a - b)

Jalad Kumar
Jan 26, 2014

(1089-729)/(6)

(33^2-27^2)/(33-27) =(33-27)(33+27)/(33-27) =60

Chaitanya Sav
Jan 20, 2014

(33^2-27^2)/33-27 a^2-b^2=(a+b)(a-b)

(33+27)(33-27)/33-27

33+27=60

Loza Elabd
Dec 18, 2013

[(33-27)x(33+27) ]/(33-27) =33+27=60

Ramlakhan Yadav
Dec 18, 2013

(33^2-27^2)/(33-27)=(33+27).(33-27)/(33-27)=(33+27)=60

just press the calculator. (33^2 - 27^2)/(33-27) = 360/ 6 = 60

Vida Joy Montero
Dec 17, 2013

=((33^2)-(27^2))/(33-27) =(1089-729)/6 =360/6 =60

Krrishna Vk
Dec 17, 2013

sq(a)-sq(b)=(a+b)(a-b); a+b=33+27=60.

Shashank Tiwari
Dec 17, 2013

33^2 - 27^2 Can Be Written As (33-27)(33+27) Now The (33-27) Terms Cancels With The Denominator Thus We Get Answer As 33+27=60

Paiker Sheikh
Dec 17, 2013

(33-27)(33+27)/(33-27)=60

1089-729/33-27

360/6=60

a^2 - b^2 =( a+b) (a-b)

so,

(33+27) (33-27)/(33-27)

= 60

Mukesh G
Dec 16, 2013

We know that , a square - b square =(a-b)(a+b) Here a=33 and b=27 Therefore, 332-272=(33-27)(33+27) Therefore, (332-272)/(33-27) = [(33+27)(33-27)]/(33-27) = (33+27) Since (33-27) in numerator cancels with (33-27) in denominator = 60

Sowmya Km
Dec 16, 2013

the given no is in the format (a^2 - b^2) /(a - b) i.e (a+b)(a-b)/(a-b) = (a +b ) = (33+27) = 60

Abhinav Satija
Dec 16, 2013

x= (square of a - square of b) divided by (a-b) identity

In that kind of equation presented in the problem, it is obvious that our numerator(or dividend either) is factor-able since 33^2-27^2 is a representation of a common special product which is a^2-b^2 and the denominator(or divisor) is a factor of 33^2-27^2. Therefore, the quotient of the said equation is 33+27 and by means of adding I derive the solution of 60.

Yogesh Bisht
Dec 16, 2013

a a-b b=(a-b)(a+b) therefore, (33+27)(33-27)/(33-27)=33+27=60

Valteson Santos
Dec 16, 2013

a²-b²=(a+b)*(a-b)

33²-27²=(33-27)*(33+27)

(33-27)*(33+27)/(33-27) = (33+27) = 60

Nur Azizah
Dec 16, 2013

33^2=1089 , 27^2=729 , 1089-729= 360 , And 33-27=6 , So 360 / 6 = 60.

Walidur Mridul
Dec 16, 2013

(33+27) (33-27)/(33-27)=60

2160

Mehreen Gull - 7 years, 5 months ago
Keerthan Uppur
Dec 16, 2013

a a-b b=(a-b)(a+b)

0 pending reports

×

Problem Loading...

Note Loading...

Set Loading...