Question

Factorise the following trinomials.
b²+14b+49​
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Answer 1

Answer:

b2−14b+49b2-14b+49

Rewrite 4949 as 7272.

b2−14b+72b2-14b+72

Check that the middle term is two times the product of the numbers being squared in the first term and third term.

14b=2⋅b⋅714b=2⋅b⋅7

Rewrite the polynomial.

b2−2⋅b⋅7+72b2-2⋅b⋅7+72

Factor using the perfect square trinomial rule a2−2ab+b2=(a−b)2a2-2ab+b2=(a-b)2, where a=ba=b and b=7b=7.

(b−7)2(b-7)2

b2−14b+49b2-14b+49

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Answer 2

Answer:

Factorise the following trinomials.

b²+14b+49

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Step-by-step explanation:

Factorise the following trinomials.

b²+14b+49

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