Question

factroise

$x2 + 8x + 16$
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Answer 1

Step-by-step explanation:

given = x² - 8x + 16

we find two no., say a and b, such that

a+b = -8 and ab= 16

Mentally, I see that a = b = -4, checking

(-4) + (-4) = -8, -4, -4 = 16

Now, we split it into :-

= x² + ax + bx + 16

= x² -4x -4x + 16

= x (x-4) - 4(x-4)

= (x-4) (x-4)

= (x-4)²

hope, it will help you

Answer 2

Factors where product is 16 and sum is 8
4 and 4
4*4=16
4+4=8

Therefore, x^2 + 4x + 4x + 16
Taking common

x(x+4) + 4(x+4)
(x+4)(x+4)
(x+4)^2