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Expand the following

2x2 + 3(x - 4) + 3y - 9*(x - 7) - 6y4(5 - 3y)

Multiply (2x2 + 3) * (x - 4 + 3y - 9*)

1: Multiply 2x2 by each term in x - 4 + 3y - 9*

1.1: Multiply 2x2 * x

Group constants and powers

(2 * 1)(x2 + 1)

2x3

1.2: Multiply 2x2 * -4

Group constants and powers

(2 * -4)(x2)

-8x2

1.3: Multiply 2x2 * 3y

Group constants and powers

(2 * 3)(x2y1)

6x2y

1.4: Multiply 2x2 * -9*

Group constants and powers

(2 * 1)(x2)

2x2

2: Multiply 3 by each term in x - 4 + 3y - 9*

2.1: Multiply 3 * x

Group constants and powers

(3 * 1)(x1)

3x

2.2: Multiply 3 * -4

Group constants and powers

(3 * -4)

-12

2.3: Multiply 3 * 3y

Group constants and powers

(3 * 3)(y1)

9y

2.4: Multiply 3 * -9*

Group constants and powers

(3 * 1)

3

Step 1 answer = 2x3 - 8x2 + 6x2y + 2x2 + 3x - 12 + 9y + 3


Group all like terms

2x3 - 6x2 + 6x2y + 3x - 9 + 9y

Final Answer

Keep Practicing
Common Core State Standards In This Lesson
HSA.APR.C.5
How does the Expand Master and Build Polynomial Equations Calculator work?
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.
Also produces a polynomial equation from a given set of roots (polynomial zeros). * Binomial Expansions c(a + b)x
* Polynomial Expansions c(d + e + f)x
* FOIL Expansions (a + b)(c + d)
* Multiple Parentheses Multiplications c(a + b)(d + e)(f + g)(h + i)

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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

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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
expand
expand master and build polynomial equations
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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