Question

Factorize the following with step by step explaination. I will appreciate it

Answer 1

Explanation:

It's really simple..

look

5a2-60a+180

5 (a2 - 12a + 36)

5 (a2 - 6a - 6a +36)

5 ( a(a - 6) -6( a- 6)

5 (a-6)(a-6)

5(a-6)^2

s2 - 256

s2 - 16^2

(s+16) (s-16)

Answer 2

Explanation:

a² - 12a + 36 = a² + 2*a *6 + 6²

Compare with (x -y)² = x²- 2ab + y²

= (a - 6)²

5a² - 60a + 180 = 5 *a² - 5 * 12 * a + 5 * 36

= 5 (a² - 12a + 36)

= 5 (a - 6)²

256 = 16 * 16 = 16²

a² - b² = (a + b)(a - b)

s² - 256 = s² - 16²

= (s + 16) (s - 16)

49q² + 42qr + 9r² = 7²q² + 2 * (7q) * 3r + 3²r²

= (7q)² + 2 *7q * 3r +(3r)²

= (7q + 3r)²