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3 votes
What is the product?
(X^4)(3x^2-2)(4x^2+5x)

User Holms
by
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2 Answers

4 votes

Answer:


12x^8+15x^7-8x^6-10x^5

Explanation:

Start by using the FOIL method on your second and third terms.


(3x^2-2)(4x^2+5x)\\12x^4+15x^3-8x^2-10x

Next, multiply the first term (
x^4) against your result.


x^4(12x^4+15x^3-8x^2-10x)\\12x^8+15x^7-8x^6-10x^5

User Vadim Yangunaev
by
7.6k points
3 votes

For this case we must find the product of the following expression:
(x ^ 4) (3x ^ 2-2) (4x ^ 2 5x) =

We must bear in mind that to multiply powers of the same base, the same base is placed and the exponents are added:

Multiplying the terms of the first two parentheses, applying distributive property we have:


(x ^ 4 * 3x ^ 2-x ^ 4 * 2) (4x ^ 2 5x) =\\(3x ^ 6-2x ^ 4) (4x ^ 2 5x) =\\3x ^ 6 * 4x ^ 2 3x ^ 6 * 5x-2x ^ 4 * 4x ^ 2-2x ^ 4 * 5x =\\12x ^ 8 15x ^ 7-8x ^ 6-10x ^ 5

Answer:

The product is:
12x ^ 8 15x ^ 7-8x ^ 6-10x ^ 5

User Robert Speicher
by
7.0k points