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Factoring – Sum and Difference of Two Cubes Factoring a Sum of Two Cubes Sum (addition) sign Two Cubes.

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Presentation on theme: "Factoring – Sum and Difference of Two Cubes Factoring a Sum of Two Cubes Sum (addition) sign Two Cubes."— Presentation transcript:

1 Factoring – Sum and Difference of Two Cubes Factoring a Sum of Two Cubes Sum (addition) sign Two Cubes

2 Factoring a Difference of Two Cubes Difference (subtraction) sign Two Cubes

3 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

4 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

5 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

6 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

7 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

8 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

9 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

10 Example 1 Factor: Write as a sum of two cubes Write the binomial without the cubes

11 Square the first and last terms Multiply the terms in the binomial Opposite signs

12 Example 2 Factor: Write as the difference of two cubes Write the binomial without the cubes

13 Square the first and last terms Notice that the sign of the last term in the trinomial is always positive

14 Multiply the terms in the binomial (no sign yet) Opposite signs

15 Hint: dont 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.

16 Example 3 Factor: Write as a sum of two cubes Write the binomial without the cubes

17 Square the first and last terms Multiply the terms in the binomial Opposite signs

18 Example 4 Factor: Write as a difference of two cubes Write the binomial without the cubes

19 Square the first and last terms Multiply the terms in the binomial Opposite signs

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