Factorise 3(x+2)^2-10(x+2)+3

1 answer:

3 0

The answer is (x - 1)(3x + 5)

Let's substitute (x + 2) with a:
3(x + 2)² - 10(x + 2) + 3 = 3a² - 10a + 3 =
= 3a² - 9a - a + 3 =
= 3a * a - 3a *3 - (a - 3) =
= 3a(a - 3) - (a - 3) =
= (a - 3)(3a - 1)

Now, substitute a with x + 2:
(a - 3)(3a - 1) = (x + 2 - 3)(3(x + 2) - 1) =
= (x - 1)(3x + 6 - 1) =
= (x - 1)(3x + 5)

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Step-by-step explanation:

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(m) is the number of months

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Keyword: Equation

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5 0

3 years ago

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wel

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1. You can estimate that it is 2 from 7/3 ≈ 2, then check by multiplication to see if that is right.
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2. You can divide 7 1/3 by 3 2/3 to see what the factor is.
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3. You could see how many times you can subtract 3 2/3 from 7 1/3.
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We have shown methods using multiplication, division, subtraction, addition. Take your pick.

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luda_lava [24]

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Step-by-step explanation:

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