(3m%5E2%2B4m-3).jpeg "(-6m+6)(3m^2+4m-3)")
Multiplying Binomials: Expanding (-6m+6)(3m^2+4m-3)
This article will guide you through the process of expanding the expression (-6m+6)(3m^2+4m-3). This involves using the distributive property to multiply each term in the first binomial by each term in the second binomial.
Step 1: Distribute the First Term
- Multiply -6m by each term in the second binomial:
- -6m * 3m^2 = -18m^3
- -6m * 4m = -24m^2
- -6m * -3 = 18m
Step 2: Distribute the Second Term
- Multiply 6 by each term in the second binomial:
- 6 * 3m^2 = 18m^2
- 6 * 4m = 24m
- 6 * -3 = -18
Step 3: Combine Like Terms
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Now we have the following expression:
- -18m^3 - 24m^2 + 18m + 18m^2 + 24m - 18
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Combine the terms with the same powers of m:
- -18m^3 + (-24m^2 + 18m^2) + (18m + 24m) - 18
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Simplify:
- -18m^3 - 6m^2 + 42m - 18
Final Result
Therefore, the expanded form of (-6m+6)(3m^2+4m-3) is -18m^3 - 6m^2 + 42m - 18.