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 * -4Group constants and powers
(2 * -4)(x2)
-8x2
1.3: Multiply 2x2 * 3yGroup 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 * -4Group constants and powers
(3 * -4)
-12
2.3: Multiply 3 * 3yGroup 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
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
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This calculator has 2 inputs.
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)
This calculator has 2 inputs.
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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- an expression of more than two algebraic terms, especially the sum of several terms that contain different powers of the same variable(s).
