Expand the following

6a(3a2b2 - 7x4y5)

Multiply (6a) * (3a2b2 - 7x4y5)

1: Multiply 6a by each term in 3a2b2 - 7x4y5

1.1: Multiply 6a * 3a2b2

Group constants and powers

(6 * 3)(a1 + 2b2)

18a3b2

1.2: Multiply 6a * -7x4y5

Group constants and powers

(6 * -7)(a1x4y5)

-42ax4y5

Step 1 answer = 18a3b2 - 42ax4y5


Group all like terms

18a3b2 - 42ax4y5

Final Answer

Common Core State Standards In This Lesson
HSA.APR.C.5
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Free Expand Master and Build Polynomial Equations Calculator - This calculator is the ultimate expansion tool to multiply polynomials. It expands algebraic expressions listed below using all 26 variables (a-z) as well as negative powers to handle polynomial multiplication. Includes multiple variable expressions as well as outside multipliers.
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What 1 formula is used for the Expand Master and Build Polynomial Equations Calculator?
a(x + y)n = aΣ[k = 0 to n]C(n,k) xn-kyk
What 6 concepts are covered in the Expand Master and Build Polynomial Equations Calculator?
FOIL
First Outside Inside Last - A method for multiplying two binomials
binomial
Polynomial which is the sum of two monomials
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polynomial
an expression of more than two algebraic terms, especially the sum of several terms that contain different powers of the same variable(s).
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