Expand the following
(2x + 3y)(5a + 6b)
Multiply (2x + 3y) * (5a + 6b)Note: This is a special expansion which uses FOIL: (First-Outside-Inside-Last)
1: Multiply 2x by each term in 5a + 6b
1.1: Multiply 2x * 5a
Group constants and powers
(2 * 5)(x1a1)
10xa
1.2: Multiply 2x * 6bGroup constants and powers
(2 * 6)(x1b1)
12xb
2: Multiply 3y by each term in 5a + 6b2.1: Multiply 3y * 5a
Group constants and powers
(3 * 5)(y1a1)
15ya
2.2: Multiply 3y * 6bGroup constants and powers
(3 * 6)(y1b1)
18yb
Step 1 answer = 10xa + 12xb + 15ya + 18yb
Group all like terms
10xa + 12xb + 15ya + 18yb
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
* 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.
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
- 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).
