How do you factor the expression d^2-14d+49d214d+49?

1 Answer
Jun 19, 2018

(d-7)^2(d7)2

Explanation:

"this is a "color(blue)"perfect square"this is a perfect square

•color(white)(x)(a+-b)^2=a^2+-2ab+b^2x(a±b)2=a2±2ab+b2

"here "a=d" and "b=-7here a=d and b=7

2ab=2xxd xx-7=-14d2ab=2×d×7=14d

d^2-14d+49=(d-7)^2d214d+49=(d7)2