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just olya [345]
3 years ago
14

Factor the following trinomial by grouping 9x^3+30x^2+24x

Mathematics
2 answers:
kramer3 years ago
8 0
9x^3+30x^2+24x \\ \\ gcf = 3x \\ \\ 3x ( \frac{9x^3}{3x} +  \frac{30x^2}{3x} +  \frac{24x}{3x} ) \\ \\ 3x(3x^2 + 10x + 8) \\ \\ 3x ( 3x^2 + 6x + 4x + 8) \\ \\ 3x(3x(x + 2) + 4(x + 2)) \\ \\ 3x(x + 2)(3x + 4) \\ \\

The final result is: 3x(x + 2)(3x + 4).
Mumz [18]3 years ago
3 0
<span><span>Factor

<span><span><span>9<span>x3</span></span>+<span>30<span>x2</span></span></span>+<span>24x</span></span><span><span><span>
9<span>x3</span></span>+<span>30<span>x2</span></span></span>+<span>24x</span></span><span>
=<span><span><span>3x</span><span>(<span><span>3x</span>+4</span>)</span></span><span>(<span>x+2</span>)</span></span></span></span></span>

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Factorise (2t-7)²-(5t-4)² <br>with working pls​
sertanlavr [38]

Answer:

33+12t−21t^2

Step-by-step explanation:

(2t-7)²-(5t-4)²

Use binomial theorem (a−b)^2 = a^2−2ab+b^2 to expand (2t-7)².

4t^2−28t+49−(5t-4)²

Use binomial theorem (a−b)^2 = a^2−2ab+b^2 to expand (5t-4)².

4t^2−28t+49−(25t^2−40t+16)

To find the opposite of 25t^2

−40t+16, find the opposite of each term.

4t^2−28t+49−25t^2−40t+16

Combine 4t^2  and −25t^2  to get −21t^2.

−21t^2−28t+49+40t−16

Combine −28t and 40t to get 12t.

−21t^2+12t+49−16

Subtract 16 from 49 to get 33.

−21t^2+12t+33

Swap terms to the left side.

33+12t−21t^2

I hope this helped!

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3 years ago
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ArbitrLikvidat [17]

Step-by-step explanation:

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stiv31 [10]
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