Factoring Sum and Difference of Cubes

This video tutorial provides tips for factoring sums and differences of cubes. It explains how to identify perfect cubes and apply the formulas for both sum and difference of cubes. The video introduces the mnemonic 'SOAP' (Same, Opposite, Always Positive) to help remember the signs in the formulas and 'Square, Multiply, Square' to guide the operations on terms. Two example problems are solved to demonstrate the application of these concepts.

What is the first step in determining if you have a sum or difference of cubes?

• Check if the terms are perfect cubes

• Check if the terms are even numbers

• Check if the terms are prime numbers

• Check if the terms are perfect squares

Tags

CCSS.7.EE.A.1

What does the mnemonic SOAP stand for?

• Same, Opposite, Always Positive

• Same, Opposite, Always Negative

• Same, Opposite, Always Neutral

• Same, Opposite, Always Zero

Tags

CCSS.6.EE.A.2C

In the sum of cubes formula, what is the sign of the middle term in the trinomial?

• Always positive

• Same as the original sign

• Opposite of the original sign

• Always negative

Tags

CCSS.HSA.APR.C.4

What is the final step in factoring a sum of cubes?

• Multiply the terms

• Square the first term

• Square the last term

• Simplify the expression

What should you always check for before factoring a difference of cubes?

• Common factors

• Perfect squares

• Prime numbers

• Even numbers

What is the GCF of 24 and 81?

• 4

• 3

• 5

• 2

Tags

CCSS.HSA.APR.C.4

In the difference of cubes formula, what is the sign of the middle term in the trinomial?

• Always negative

• Same as the original sign

• Always positive

• Opposite of the original sign

Tags

CCSS.HSA.APR.C.4

What is the first step in the SOAP method for factoring a difference of cubes?

• Square the first term

• Multiply the terms

• Determine the signs

• Square the last term

Tags

CCSS.HSA.APR.C.4

What is the result of squaring 2x in the difference of cubes example?

• 4x^2

• 8x^2

• 2x

• 4x

Tags

CCSS.HSA.APR.C.4

What is the final expression for the difference of cubes example given in the video?

• 3 * (2x + 3) * (4x^2 - 6x + 9)

• 3 * (2x + 3) * (4x^2 + 6x + 9)

• 3 * (2x - 3) * (4x^2 - 6x + 9)

• 3 * (2x - 3) * (4x^2 + 6x + 9)

Tags

CCSS.HSA.APR.C.4