Factoring Sum and Difference of Two Cubes Factoring
Factoring – Sum and Difference of Two Cubes • Factoring a Sum of Two Cubes Sum (addition) sign Two Cubes Table of Contents
• Factoring a Difference of Two Cubes Difference (subtraction) sign Two Cubes Table of Contents
• Use the following to remember the pattern for both formulas. The sum of two cubes will be demonstrated: Write a new binomial without the exponents Use the new binomial to create the trinomial 1. Square the first and last terms of the binomial to create the first and last terms of the trinomial Table of Contents
• Use the following to remember the pattern for both formulas. The sum of two cubes will be demonstrated: Write a new binomial without the exponents Use the new binomial to create the trinomial 1. Square the first and last terms of the binomial to create the first and last terms of the trinomial Table of Contents
• Use the following to remember the pattern for both formulas. The sum of two cubes will be demonstrated: Write a new binomial without the exponents Use the new binomial to create the trinomial 1. Square the first and last terms of the binomial to create the first and last terms of the trinomial Table of Contents
• Use the following to remember the pattern for both formulas. The sum of two cubes will be demonstrated: Write a new binomial without the exponents Use the new binomial to create the trinomial 1. Square the first and last terms of the binomial to create the first and last terms of the trinomial 2. Multiply the terms of the binomial to create the middle term of the trinomial Table of Contents
• Use the following to remember the pattern for both formulas. The sum of two cubes will be demonstrated: Write a new binomial without the exponents Use the new binomial to create the trinomial 1. Square the first and last terms of the binomial to create the first and last terms of the trinomial 2. Multiply the terms of the binomial to create the middle term of the trinomial Table of Contents
• Use the following to remember the pattern for both formulas. The sum of two cubes will be demonstrated: Write a new binomial without the exponents Use the new binomial to create the trinomial 1. Square the first and last terms of the binomial to create the first and last terms of the trinomial 2. Multiply the terms of the binomial to create the middle term of the trinomial 3. Signs are opposite Table of Contents
• Use the following to remember the pattern for both formulas. The sum of two cubes will be demonstrated: Write a new binomial without the exponents Use the new binomial to create the trinomial 1. Square the first and last terms of the binomial to create the first and last terms of the trinomial 2. Multiply the terms of the binomial to create the middle term of the trinomial 3. Signs are opposite Table of Contents
• Example 1 Factor: Write as a sum of two cubes Write the binomial without the cubes Table of Contents
Square the first and last terms Multiply the terms in the binomial Opposite signs Table of Contents
• Example 2 Factor: Write as the difference of two cubes Write the binomial without the cubes Table of Contents
Square the first and last terms Notice that the sign of the last term in the trinomial is always positive Table of Contents
Multiply the terms in the binomial (no sign yet) Opposite signs Table of Contents
Hint: don’t try to factor the trinomial after factoring the sum or difference of two cubes. If the greatest common factor has already been taken out, the resulting trinomial cannot be factored using integers. Table of Contents
• Example 3 Factor: Write as a sum of two cubes Write the binomial without the cubes Table of Contents
Square the first and last terms Multiply the terms in the binomial Opposite signs Table of Contents
• Example 4 Factor: Write as a difference of two cubes Write the binomial without the cubes Table of Contents
Square the first and last terms Multiply the terms in the binomial Opposite signs Table of Contents
Table of Contents
- Slides: 20
