How to Multiply Binomials? (+FREE Worksheet!)
Binomials are the sum or difference of two terms in an algebraic expression. Here you learn how to multiply them using the FOIL method.
[include_netrun_products_block from-products="product/ged-math-test-prep-in-30-days-complete-study-guide-and-test-tutor-for-ged-mathematics-the-ultimate-book-for-beginners-and-pros-two-practice-tests/" product-list-class="bundle-products float-left" product-item-class="float-left" product-item-image-container-class="p-0 float-left" product-item-image-container-size="col-2" product-item-image-container-custom-style="" product-item-container-size="" product-item-add-to-cart-class="btn-accent btn-purchase-ajax" product-item-button-custom-url="{url}/?ajax-add-to-cart={id}" product-item-button-custom-url-if-not-salable="{productUrl} product-item-container-class="" product-item-element-order="image,title,purchase,price" product-item-title-size="" product-item-title-wrapper-size="col-10" product-item-title-tag="h3" product-item-title-class="mt-0" product-item-title-wrapper-class="float-left pr-0" product-item-price-size="" product-item-purchase-size="" product-item-purchase-wrapper-size="" product-item-price-wrapper-class="pr-0 float-left" product-item-price-wrapper-size="col-10" product-item-read-more-text="" product-item-add-to-cart-text="" product-item-add-to-cart-custom-attribute="title='Purchase this book with single click'" product-item-thumbnail-size="290-380" show-details="false" show-excerpt="false" paginate="false" lazy-load="true"]
Related Topics
- How to Multiply Monomials
- How to Multiply and Dividing Monomials
- How to Multiply a Polynomial and a Monomial
- How to Factor Trinomials
- How to Add and Subtract Polynomials
Step-by-step guide to Multiplying Binomials
- The sum or the difference of two terms in an algebraic expression is a binomial.
- Use “FOIL” (First–Out–In–Last) to multiply Binomials.
\(\color{blue}{(x+a)(x+b)=x^2+(b+a)x+ab}\)
For education statistics and research, visit the National Center for Education Statistics.
The Absolute Best Books to Ace Pre-Algebra to Algebra II
Multiplying Binomials – Example 1:
Multiply Binomials. \((x+3)(x-2)=\)
Solution:
Use “FOIL”. (First–Out–In–Last):
\((x+3)(x-2)=x^2−2x+3x−6 \)
Now combine like terms: \(-2x+3x=x\)
Then simplify: \(x^2−2x+3x−6=x^2+x−6\)
Multiplying Binomials – Example 2:
Multiply Binomials. \((x-4)(x-2)=\)
Solution:
Use “FOIL”. (First–Out–In–Last):
\((x-4)(x-2)=x^2-2x-4x+8 \)
Now combine like terms: \(-2x-4x=-6x\)
Then simplify: \(x^2-2x-4x+8 =\) \(x^2-6x+8\)
Multiplying Binomials – Example 3:
Multiply Binomials. \((x-2)(x+2)=\)
Solution:
Use “FOIL”. (First–Out–In–Last):
\( (x-2)(x+2)=x^2+2x-2x-4 \)
Now combine like terms: \(2x-2x=0\)
Then simplify: \(x^2+2x-2x-4=x^2-4\)
The Best Book to Help You Ace Pre-Algebra
Multiplying Binomials – Example 4:
Multiply Binomials. \((x+5)(x-2)=\)
Solution:
Use “FOIL”. (First–Out–In–Last):
\((x+5)(x-2)=x^2-2x+5x-10 \)
Now combine like terms: \(-2x+5x=3x\)
Then simplify: \(x^2-2x+5x-10=x^2+3x-10\)
Exercises for Multiplying Binomials
Multiply.
- \(\color{blue}{ (3x – 2) (4x + 2)}\)
- \(\color{blue}{(2x – 5) (x + 7)}\)
- \(\color{blue}{ (x + 2) (x + 8)}\)
- \(\color{blue}{ (x^2 + 2) (x^2 – 2)}\)
- \(\color{blue}{ (x – 2) (x + 4)}\)
- \(\color{blue}{ (x – 8) (2x + 8)}\)
Download Multiplying Binomials Worksheet
- \(\color{blue}{12x^2 – 2x – 4 }\)
- \(\color{blue}{2x^2 + 9x – 35 }\)
- \(\color{blue}{ x^2 + 10x + 16}\)
- \(\color{blue}{x^4 – 4 }\)
- \(\color{blue}{x^2 + 2x – 8 }\)
- \(\color{blue}{2x^2 – 8x – 64 }\)
The Greatest Books for Students to Ace the Algebra
Related to This Article
More math articles
- How to Find Scalar Multiplication of Vectors?
- Divide and Conquer: How to Tackle Word Problems with Division Facts up to Twelve
- What Does the STAAR Test Stand For?
- How to Use the Distributive Property? (+FREE Worksheet!)
- How to Overcome Praxis Core Math Anxiety?
- Math Café: How to Learn the Art of Writing and Solving Two-variable Equations
- How to Master the Concept of Continuity over an Interval
- How to Solve Multiplication Inequalities
- Division Dynamics: How to Solve Word Problems with Multi-digit Dividends and One-digit Divisors!”
- 7th Grade PARCC Math Practice Test Questions










What people say about "How to Multiply Binomials? (+FREE Worksheet!) - Effortless Math: We Help Students Learn to LOVE Mathematics"?
No one replied yet.