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WITCHER [35]
4 years ago
14

Factor 6x4 – 5x2 + 12x2 – 10 by grouping. What is the resulting expression?

Mathematics
1 answer:
Tpy6a [65]4 years ago
8 0
Hi, let's there!

6x^4 -5x^2 + 12x^2 -10

Rewriting this equation as:

6x^4 + 12x^2 -5x^2 - 10

Now putting 6x^2 as commun factor

6x^2.( x^2 +2) -5x^2-10

Now putting -5 as commun factor

6x^2.( x^2 + 2) -5.( x^2 +2)

Now putting (x^2+2) as commun factor

(x^2 + 2).( 6x^2 +2)

Now putting 2 as commun factor on the expression 6x^2 +2

6x^2+2 = 2.( 3x^2 +1)

Then stay:

2.( x^2 +2).( 3x^2 +1)
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Answer: (-\frac{5}{7})^{17}

Step-by-step explanation:

The expression can be simplified by applying the a properties of exponents, specifically the Product of powers, which states that:

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You will get the expression simplified and written as a power:

(-\frac{5}{7})^8(-\frac{5}{7})^9=(-\frac{5}{7})^{(8+9)}=(-\frac{5}{7})^{17}

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