How do you factor: #y= 10x^3 + 20x^2 #?

Answer 1

#y = 10x^2(x + 2#) OR #y = (5x)(2x)(x + 2)#

First look for numbers and variables that can be divided out of both terms.

#y = 10x^3 + 20x^2#
Just from taking a look at the equation, we can tell that we can divide a #10# and #x^2# from both terms, and these are the highest values we can take out. Let's write this out:
#y = 10x^2(x + 2)#

And there you have it! This is the factored out form of the original equation.

Note that it is possible to take out more factors, for example:

#y = (5x)(2x)(x + 2)#

Both answers are fine.

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Answer 2

To factor the expression ( y = 10x^3 + 20x^2 ), you can first factor out the greatest common factor, which is ( 10x^2 ), resulting in:

[ y = 10x^2(x + 2) ]

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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