(3c^2+2d)(-5c^2+d)

Jasonbradley

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Jun 16, 2024

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Expanding the Expression (3c^2 + 2d)(-5c^2 + d)

This problem involves expanding a product of two binomials. We can achieve this using the FOIL method, which stands for First, Outer, Inner, Last.

1. First: Multiply the first terms of each binomial. (3c^2) * (-5c^2) = -15c^4

2. Outer: Multiply the outer terms of the binomials. (3c^2) * (d) = 3c^2d

3. Inner: Multiply the inner terms of the binomials. (2d) * (-5c^2) = -10c^2d

4. Last: Multiply the last terms of each binomial. (2d) * (d) = 2d^2

5. Combine Like Terms: Add the results from each step. -15c^4 + 3c^2d - 10c^2d + 2d^2 = -15c^4 - 7c^2d + 2d^2

Therefore, the expanded form of (3c^2 + 2d)(-5c^2 + d) is -15c^4 - 7c^2d + 2d^2.