Hidden squares

Algebra Level 1

Evaluate ( 15 4 ) × ( 15 + 4 ) (15-4) \times (15+4) .


The answer is 209.

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26 solutions

Phùng Anh
Nov 22, 2013

= 1 5 2 15^{2} - 4 2 4^{2} =209

(11 x 20) -11 = 209

Thanh Tran - 7 years, 6 months ago

how can anyone shom me??

Yash Purohit - 7 years, 6 months ago

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u have to do the processes between parenthesis firstly, then the multiplication process.

Mohamed Abd El Latif - 7 years, 6 months ago

difference between two squares :)

Mohamed Abd El Latif - 7 years, 6 months ago
Nikola Penshovski
Nov 22, 2013

(15-4) x (15 + 4) = 11 x 19 = (10 x 19) + (1 x 19) = 190 + 19 = 209

yep , i did that ... easy way :D

Ahmed Fathy - 7 years, 6 months ago
Chaitanya Sav
Jan 20, 2014

(15-4)(15+4)=15^2-4^2=225-16=209

. .
Feb 16, 2021

( a + b ) × ( a b ) = a 2 + a b a b b 2 = a 2 b 2 ( a + b ) \times ( a - b ) = a^{2} + ab - ab - b^{2} = a^{2} - b^{2}

For this problem: a = 15 , b = 4 a = 15, b = 4 .

( 15 + 4 ) × ( 15 4 ) = 1 5 2 + 15 × 4 15 × 4 4 2 = 225 + 60 60 16 = 285 60 16 = 225 16 = 209 ( 15 + 4 ) \times ( 15 - 4 ) = 15^{2} + 15 \times 4 - 15 \times 4 - 4^{2} = 225 + 60 - 60 -16 = 285 - 60 - 16 = 225 - 16 = \boxed{209} .

(15 - 4) x (15 + 4) = 15^2 - 4^2 = 209

Ronald Cadavillo
Jan 4, 2014

15-4 = 11 15+4 = 19

11*19 = 209

Badr Abaza
Dec 28, 2013

deal with the brackets 15-4=11 15+4=19 then you take the two numbers and multiply them with each other 11 x 19 = 209

Arjun Singh
Nov 24, 2013

15^2-16^2=>225-16=>209

Mayan Chavan
Nov 24, 2013

bodmas

Vaibhav Biradar
Nov 23, 2013

Following the BODMAS - Brackets-Order-Division-Multiplication-Addition-Subtraction - We solve the Brackets first that is 15-4 and 15+ 4.. the answer to that is 11 and 19 respectively. Then what's left is multiplication between 11 and 19 which gives us the answer 209 11x19=209

Chanchal Soni
Nov 23, 2013

15-4=11 AND 15+4=19 19*11=209

Ho Wei Lam
Nov 23, 2013

(15−4)×(15+4) =11×19 =209

Ash King
Nov 23, 2013

11*19=209

Nitin Khokhar
Nov 23, 2013

(15-4) (15+4)= (11) (19)= 11*19=209

(A-B) (A+B) = A² - B²
And A=15 , B=4
=> Answer = 15²-4² => 225-16 => 209

Sai Praveen
Nov 23, 2013

simple (a+b)(a-b) formulae square of a - square of b

Mehul Mistry
Nov 23, 2013

15-4=11 and 15+4=19 when you multiply any number with 11 you have to follow this steps 19 11= 209 9 comes from 19's 9 and then 19 make sum of numbers 9+1=10 and then 0 comes 1give to 19's one so 1+1 makes 2 now the anser comes 209 i give you another ex. 23 11=253 2 and 2+3 and 3

Dian Simatupang
Nov 23, 2013

(15-4)x(15+4) = 15^2-4^2=209

Sulaim Np
Nov 23, 2013

(15-4)x(15+4) it is of the form (a+b)x(a-b) so we can write it as a^2 -b^2 therefore (15-4)x(15+4) = 15^2 - 4^2 = 225 -16 = 209 :)

(x+y) \times (x-y) = x^{2} - y^{2}

difference between two squares

Mohamed Abd El Latif - 7 years, 6 months ago
Dorm Dumaran
Nov 22, 2013

(15-4) * (15+4) = (11)*(19) = 209

Alexis Ingram
Nov 22, 2013

I solved what was in the parenthesis first (15-4)= 11, then (15+4)= 19. Next you multiplied 11 x 19= 209

Fahad Alam
Nov 22, 2013

(15-4)x(15+4)= 11x19= 209 (220-11)

Karice Ransome
Nov 22, 2013

Since the numbers are in parentheses you do those problems first. So add 15 to 4 and you get 19. Then subtract 4 from 15 to get 11. Then multiply 11 and 19 and you get 209. That is your answer.

Rishikesh Khan
Nov 21, 2013

15-4 = 11 15+4 = 19 so (11)*(19)=209

Arsal Hussain
Nov 21, 2013

The Easy Approach Is By Applying \boxed{ (a-b)(a+b) = a^{2}-b^{2}}

11*19=209

Shahud Syed - 7 years, 6 months ago

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