Factoring Cubes

Front

What is the formula for factoring a sum of cubes?

Back

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

Front

What is the formula for factoring a difference of cubes?

Back

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

Front

Factor the expression: 8x^3 + 27y^3

Back

(2x + 3y)(4x^2 - 6xy + 9y^2)

Front

Factor the expression: w^3 + 343c^3

Back

(w + 7c)(w^2 - 7wc + 49c^2)

Front

Factor the expression completely: 250x^4 + 128x

Back

2x(5x + 4)(25x^2 - 20x + 16)

Front

Factor the expression: 8z^3 + 125

Back

(2z + 5)(4z^2 - 10z + 25)

Front

Factor the expression: v^3 + 1

Back

(v + 1)(v^2 - v + 1)

Front

What is the first step in factoring a polynomial?

Back

Look for a common factor in all terms.

Front

How do you identify a sum of cubes?

Back

If the expression can be written as a^3 + b^3, where a and b are real numbers.

Front

How do you identify a difference of cubes?

Back

If the expression can be written as a^3 - b^3, where a and b are real numbers.