Apr 6--Flashcardizz--Factoring sum/difference cubes

Front

What is the formula for factoring the sum of cubes?

Back

a^3 + b^3 = (a + b)(a^2 - ab + b^2)

Front

What is the formula for factoring the difference of cubes?

Back

a^3 - b^3 = (a - b)(a^2 + ab + b^2)

Front

How do you factor a polynomial completely?

Back

To factor a polynomial completely, find the greatest common factor (GCF), then factor any remaining polynomial using techniques such as grouping, difference of squares, or sum/difference of cubes.

Front

What is the GCF of 4x^4 and 32x?

Back

The GCF is 4x.

Front

How do you factor the expression 8y^3z^3 + 125?

Back

Use the sum of cubes formula: (2yz + 5)(4y^2z^2 - 10yz + 25).

Front

What is the result of factoring n^3 - 27?

Back

(n - 3)(n^2 + 3n + 9) using the difference of cubes formula.

Front

What is the factored form of 125 - r^3?

Back

(5 - r)(25 + 5r + r^2) using the difference of cubes formula.

Front

How do you factor the expression 36 - 49y^2?

Back

Use the difference of squares formula: (6 - 7y)(6 + 7y).

Front

What is the factored form of 4x^4 + 32x?

Back

4x(x + 2)(x^2 - 2x + 4) after factoring out the GCF and then factoring the remaining polynomial.

Front

What is the difference of squares formula?

Back

a^2 - b^2 = (a - b)(a + b).