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Here is your answer:
4x² + 28x + 49
4x² + 14x + 14x + 49
2x(2x) + 2x(7) + 7(2x) + 7(7)
2x(2x + 7) + 7(2x + 7)
(2x + 7)(2x + 7)
(2x + 7)²
= 28
Hope this helps!
Answer:
Step-by-step explanation:
Given is a perfect square trianomial.
The middle term is missing
The first term is [tex]4x^2[/tex] and the third term is 49
We find that
first term is square of 2x and last term is square of 7
Hence middle term has to be 2ab = 2(2x)(7)
=28x
SO middle term is 28x
Missing value = 28x
Verify:
[tex]4x^2+28x+49=(2x)^2+2(2x)(7)+7^2\\=(2x+7)^2[/tex]
= a perfect square