Can you please factor the problems below and explain/show all your steps. I will be attaching a photo with the problems as well in case they are more understandable on there. Also if you can please explain how you used the key concepts from the photo in your work if you used them. Factor: 2a^3 + 4a^2 + 8a
Factor: 6y^4 - 294y^2
Factor: 5x^2 + 50x +125

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To factor each expression, we apply the given concepts, that is, greatest common factor, difference of squares and perfect squares.

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Expression 1:

The expression is:

First, we find the gcf of the numbers 2, 4 and 8, which is 2.

Of the exponents, the gcf between 3, 2 and 1 is 1, so:

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Expression 2:

The expression is:

The gcf of 6 and 294 is 6.

The gcf of the exponents 2 and 4 is 4.

Thus:

Then, applying the difference of squares:

Thus, the factored expression is:

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Expression 3:

The expression is:

The gcf of the coefficients, 5, 50 and 125 is 5, so:

Applying the perfect square, we get that:

Tus, the factored expression is:

A similar question is given at

find the magnitude of the trig term  

csc

(

x

)

−

1

by taking the absolute value of the coefficient.

1

find the lower bound of the range.

tap for more

y

=

−

2

find the upper bound of the range.

tap for more

y

=

0

the range is  

y

≤

−

2

or  

y

≥

0

.

(

−

∞

,

−

2

]

∪

[

0

,

∞

)

{

y

|

y

≤

−

2

,

y

≥

0

}

step-by-step explanation:

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step-by-step explanation: