Expand the following
(6 + 5a)(7 - 5b)
Multiply (6 + 5a) * (7 - 5b)Note: This is a special expansion which uses FOIL: (First-Outside-Inside-Last)
1: Multiply 6 by each term in 7 - 5b
1.1: Multiply 6 * 7
Group constants and powers
(6 * 7)
42
1.2: Multiply 6 * -5bGroup constants and powers
(6 * -5)(b1)
-30b
2: Multiply 5a by each term in 7 - 5b2.1: Multiply 5a * 7
Group constants and powers
(5 * 7)(a1)
35a
2.2: Multiply 5a * -5bGroup constants and powers
(5 * -5)(a1b1)
-25ab
Step 1 answer = 42 - 30b + 35a - 25ab
Group all like terms
42 - 30b + 35a - 25ab
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).
