Question

Evaluate: (3 + 7)2 + (3 − 7)2

Answer 1

Step-by-step explanation:

SOLUTION

We are given the sum , (3+7)^2 + (3-7)^2

To find the value , we need to evaluate the squares

(3+7)^2 = 10^2 = 10

(3-7)^2 = (-4)^2 = 16

Now , adding the two terms , we get,

(3+7)^2 + (3-7)^2 = 10 + 16 = 26

Ans. 26

Answer 2

$(3 + 7) {}^{2} + (3 - 7) {}^{2} \\ = (3 {}^{2} + 7 {}^{2} + 2 \times 3 \times 7) + (3 {}^{2} + 7 {}^{2} - 2 \times 3 \times 7) \\ = (9 + 49 + 42) + (9 + 49 - 42 ) \\ = 100 + 16 \\ = 116$