Question

x^2+14x+49 Factorize​

Answer 1

Answer:

(x+7)^2

Step-by-step explanation:

(x)^2+7x+7x+(7)^2

x(x+7)+7(x+7)

(x+7)(x+7)

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Answer 2

AnSwEr -:


•(x+7)^2 is the answer.

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Explanation-:

•Equation-:

x^2+14x+49

•Use the sum-product pattern

X^2 + “14x” +49 =

= x^2 + 7x + 7x + 49

•Take out Common factor from the two

pairs.

x^2 + 7x + 7x + 49

x(x + 7) + 7 (x+ 7)

Then ,


•Rewrite in factored form

x(x + 7) + 7 (x+ 7)

= (x+7)(x+7)

•Combine to a square

(x+7)(x+7)

= (x+7)^2

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•(x+7)^2 is the answer.

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