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3 years ago

Which is the completely factored form of 4x2+28x+49?

Mathematics

2 answers:

zhenek [66]3 years ago

8 0

Answer: The required factored form of the given expression is $(2x+7)(2x+7).$

Step-by-step explanation: We are given to completely factor the following quadratic expression :

$E=4x^2+28x+49~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)$

We will be using the following factorization formula :

$(a+b)^2=a^2+2ab+b^2.$

From (i), we have

$E\\\\=4x^2+28x+49\\\\=(2x)^2+2\times x\times7+7^2\\\\=(2x+7)^2\\\\=(2x+7)(2x+7).$

Thus, the required factored form of the given expression is $(2x+7)(2x+7).$

ratelena [41]3 years ago

5 0

<span> (2x+7)(2x+7) hope this helps</span>

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Answer:

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