Question

factorise x^2 +8x+16 using identies​

Answer 1

Answer:

x

2

−8x+16=x

2

−2(4)(x)+4

2

=(x−4)

2

...[∵(a−b)

2

=a

2

−2ab+b

2

]

=(x−4)(x−4)

Step-by-step explanation:

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Answer 2

Answer:

$x^2 +8x+16 = (x + 4)^2$

Step-by-step explanation:

Find the two numbers whose product is the last number and the sum is the middle number.

In  $x^2 +8x+16$ the last number is 16 and the middle number is 8.

So, find two numbers whose product is + 16 and the sum is 8.

numbers are + 4, + 4

4 × 4 = 16

And 4 + 4 = 8

$x^2 +8x+16 = x^2 +4x + 4x+16\\= x (x + 4) + 4( x + 4)\\= (x + 4) ( x + 4)\\= (x + 4)^2$