Question

Factorisation of
${x}^{2} + 14 + 49$
​

Answer 1

Step-by-step explanation:

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

Answer 2

x² + 14 + 49

answer : x² + 63