Question

factorise x^2+8x+16​

Answer 1

Answer:

x^2+8x+16

= x^2+4x+4x+16

= x(x+4)+4(x+4)

= (x+4) ( x+4)

=

Answer 2

Step-by-step explanation:

Solution:-

We have- x²+8x+16

By using Middle Term Split,

The factors of 16 applicable here is 4×4.

So, the equation will be

x²+4x+4x+16__________(as it satisfies both conditions)

= x(x+4)+4(x+4)

= (x+4)(x+4) is your answer.

_______________________________

What is Middle Term Split?

The process in which we divide tha factors of multiplication of 1st term and 3rd term which also satisfies the formation of the sum of the 2nd term is called the process of Middle Term Split.

Some cautions:

1. Always watch out for the signs as it may change.
2. All factors are not applicable, so be careful while making the factors.