SOLUTION: I don't even understand how to simplify these type problems! Yikes! Let alone Multiply and Simplify! I can only hope someone out there can help me solve and understand the steps to

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Question 102005This question is from textbook Intermediate Algebra
: I don't even understand how to simplify these type problems! Yikes! Let alone Multiply and Simplify! I can only hope someone out there can help me solve and understand the steps to solve this problem!? Thank You.
Multiply and Simplify:
(Note this problem is not from the textbook we study from).
(x^2 - x - 20) (x^2 + 7x + 10)
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(x^2 -3x -10) (x^2 + 4x -5) This question is from textbook Intermediate Algebra

Answer by mathemanic(13) About Me  (Show Source):
You can put this solution on YOUR website!


First, look at the highlighted part and factorize the quadratic forms.
+%28x%5E2+-+x+-+20%29%2A%28x%5E2+%2B+7x+%2B+10%29+
+%28x+-+5%29%2A%28x+%2B+4%29%2A%28x+%2B+5%29%2A%28x+%2B+2%29+
Therefore,

Again, look at the highlighted part and factorize them.
+%28x%5E2+-+3x+-+10%29%2A%28x%5E2+%2B+4x+-+5%29+
+%28x+-+5%29%2A%28x+%2B+2%29+%2A+%28x+%2B+5%29%2A%28x+-+1%29+
So now we have:

See that (x - 5) cancels (x - 5); (x + 5) cancels (x + 5); and (x + 2) cancels (x + 2), so:

and
+%28x+%2B+4%29+%2F+%28x+-+1%29+
is the simplified form.