Question

Factorize : 16x2 – 14x + 49​

Answer 1

Answer:

ANSWER

Given that: x

2

+14x+49

=x

2

+7x+7x+49, (split middle term so that resultant is same)

=(x

2

+7x)+(7x+49), (group pair of terms)

=x(x+7)+7(x+7), (factor each binomials)

=(x+7)(x+7), (factor out common factor (x+7))

=(x+7)

2

Aliter, use (a+b

2

)=a

2

+2ab+b

2

⇒x

2

+14x+49=x

2

+2×7x+7

2

=(x+7)

2