Multiplication Tricks (8)

Algebra Level 1

Given that 62 2 = 3844 \large \text{Given that } { 62 }^{ 2 }=3844

Find the value of 63 2 \large \text{Find the value of } { 63 }^{ 2 }

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The answer is 3969.

Angela Fajardo by Angela Fajardo , 19, Philippines

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3 solutions

6 3 2 = ( 62 + 1 ) 2 = 6 2 2 + 2 ( 62 ) + 1 = 3844 + 124 + 1 = 3969 \begin{aligned} 63^2 & = (62+1)^2 \\ & = 62^2+2(62)+1 \\ & = 3844 + 124 + 1 \\ & = \boxed{3969} \end{aligned}

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I just know that this equals to 81(49) which is extremely convinient, 80(50)

Razzi Masroor - 4 years, 7 months ago

The difference Between the ( n - 1) st square and the nth square is the nth odd number. So 63 ^ 2 = 3844 + 125 = 3969

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Akeel Howell
Nov 2, 2016

For integers x , x, x 2 = ( x − 1 ) 2 + x + ( x − 1 ) x^2= (x-1)^2+x+(x-1) ∴ 6 3 2 = 6 2 2 + 63 + 62 \therefore 63^2 = 62^2+63+62 = 3844 + 63 + 62 = 3969 = 3844+63+62 = \boxed{3969}

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