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jok3333 [9.3K]
3 years ago
14

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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