Algebra 2 factoring plz help me

Question

. Factor: 25𝑔2−40𝑔+16

Answer 1

ANSWER;



Let us solve this problem;

25g²-40g+16

1. Use the sum-product pattern;

25g²-40g+16

25g²-20g-20g+16

1. Common factor from the two pairs;

25g² - 20g - 20g + 16

5g(5g-4) - 4(5g-4)

1. Rewrite in factored form;

5g(5g-4) - 4(5g-4)

(5g-4)(5g-4)

1. Compute to a square;

(5g-4)(5g-4)

(5g-4)²

Solution;

(5g-4)²

Answer 2

25g² - 40g + 16 = (5g -4)(5g - 4) = (5g - 4)²