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3 years ago

How do you factor?: 4x^2 + 12x + 9 (Please show steps)

Mathematics

1 answer:

Bumek [7]3 years ago

8 0

Answer: Rewrite 4x squared as (2x) squared

(2x) squared +12x + 9

rewrite 9 as (3) squared

Check the middle term by multiplying

2ab and compare this result with the middle term in the original expression.

2ab = 2 x (2x) x 3

Simplify 2ab = 12x, then factor using the perfect square trinomial rule. A sqaured + 2ab + b squared = (a + b) squared

A = 2x and B = 3

So your answer is

(2x + 3) squared!

sorry its so long

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3 years ago

How can I simplify/rewrite the 1st(top) equation into the 2nd(Botton),please show a step by step solution.

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Step-by-step explanation:

$-2(4 - \frac{x}{2} )^{5} + C$

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3 years ago

Find three consecutive odd integers so that the sum of twice the first, the second

netineya [11]

Answer: 23, 25, 27

Step-by-step explanation:

Let the 3 consecutive odd numbers be x, x+2 and x+4.

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3 years ago

What is the square root of 5x^2 = 300

vesna_86 [32]

So, values of x are: $x=2\sqrt{15},\,\,x=-2\sqrt{15}$

Step-by-step explanation:

We need to find the square root of 5x^2 = 300

Writing in mathematical form:

$5x^2=300$

Divide both sides by 5

$\frac{5x^2}{5}=\frac{300}{5}$

$x^2=60$

Taking square root on both sides

$\sqrt{x^2}=\sqrt{60}$

$x=\pm (\sqrt{2\times 2\times 3\times 5})$

$x=\pm (\sqrt{2^2 \times 3\times 5})$

$x=\pm (2\sqrt{3\times 5})$

$x=\pm (2\sqrt{15})$

$x=2\sqrt{15},\,\,x=-2\sqrt{15}$

So, values of x are: $x=2\sqrt{15},\,\,x=-2\sqrt{15}$

Keywords: Square root

Learn more about square root at:

#learnwithBrainly

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4 years ago