Answer :
Question-
multiply ----- (4x^2+7x)(5x^2-3x)
A. 20^4+23x^3-21x^2
B. 20x^4+35x^2-21x
C. 20x^4+35x^3-21x^2
D. 20x^4+23x^2-21x
Answer-
A. 20^4+23x^3-21x^2
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Final answer:
the correct answer is option c. 20x^4 + 35x^3 - 21x^2,To multiply the given expressions, use the distributive property and simplify the terms by combining like terms.
Explanation:
To multiply the given expressions, we need to use the distributive property. We multiply each term in the first expression by each term in the second expression. Using the FOIL method, we get:
(4x^2+7x)(5x^2-3x) = 4x^2 * 5x^2 + 4x^2 * (-3x) + 7x * 5x^2 + 7x * (-3x)
Simplifying this, we get:
20x^4 - 12x^3 + 35x^3 - 21x^2
Combining like terms, we have:
20x^4 + 23x^3 - 21x^2
Therefore, the correct answer is option c. 20x^4 + 35x^3 - 21x^2.
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