SOLUTION: Can you explain how to solve this in detail? Thank you. Factor completely: 4x2 – 36y2 Factor completely: 3x2 – 2x – 8 Factor completely: 24x2 + 10x – 4

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Question 35976: Can you explain how to solve this in detail? Thank you.
Factor completely:
4x2 – 36y2
Factor completely:
3x2 – 2x – 8
Factor completely:
24x2 + 10x – 4
Answer by elima(1433)   (Show Source): You can put this solution on YOUR website!
Factor completely:
4x2 – 36y2
First we factor out the 4;

we can see in the terms in the parenthesis are perfect squares;
4(x+3y)(x-3y)
Factor completely:
3x2 – 2x – 8
You need to find the factors of 3 and factors of 8;
3= 3,1; 8=2,4;1,8;
the signs are going to be different because your second sign is a -;
(3x+4)(x-2);
Factor completely:
24x2 + 10x – 4
List factors of 24 and factors of 4;
24=24,1;2,12;3,8;4,6; 4=4,1;2,2
We see the signs are going to be different because the second sign in the original equation is -;
(8x-2)(3x+2)
Hope you understand
=)
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