Question

evaluate without computing their squares

a)
${25}^{2}$
b)
${24}^{2}$

Answer 1

Hey friend
here is your ans
a):-25^2
$(20 + 5) {}^{2} \\ = 20 {}^{2} \ + 5 {}^{2} + 2 \times 20 \times 5 \\ = 400 + 25 + 200 \\ = 625$
b)24^2
$(20 + 4) \\ = 400 + 16 + 2 \times 20 \times 4) \\ = 400 + 16 + 160 \\ = 560 + 16 \\ = 576$
Hope it help___-----____