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gavmur [86]
3 years ago
15

Which is a factor of 2x2y4 − 10x2y + 14y3 − 70?

Mathematics
2 answers:
ella [17]3 years ago
5 0
2(y³ -5) (x²y+7) This is the correct answer 

kipiarov [429]3 years ago
5 0

Given expression: 2x^2y^4 - 10x^2y + 14y^3 - 70.

We need to factor it.

\mathrm{Rewrite\:}14\mathrm{\:as\:}7\cdot \:2

\mathrm{Rewrite\:}70\mathrm{\:as\:}35\cdot \:2

\mathrm{Rewrite\:}10\mathrm{\:as\:}5\cdot \:2

\mathrm{Factor\:out\:common\:term\:}2

=2\left(x^2y^4+7y^3-5x^2y-35\right)

Makeing it into two groups.

=\left(x^2y^4-5x^2y\right)+\left(7y^3-35\right)

\mathrm{Factor\:out\:}7\mathrm{\:from\:}7y^3-35\mathrm{:\quad }7\left(y^3-5\right)

\mathrm{Factor\:out\:}x^2y\mathrm{\:from\:}x^2y^4-5x^2y\mathrm{:\quad }x^2y\left(y^3-5\right)

=7\left(y^3-5\right)+x^2y\left(y^3-5\right)

\mathrm{Factor\:out\:common\:term\:}y^3-5

=\left(y^3-5\right)\left(x^2y+7\right)

2\left(x^2y^4+7y^3-5x^2y-35\right) =\left(y^3-5\right)\left(x^2y+7\right).

<h3>Therefore, final factored form is 2\left(y^3-5\right)\left(x^2y+7\right).</h3>
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