Factor the expression: $$x^3 - 27$$

$$x^3 - 27 = (x - 3)(x^2 + 3x + 9)$$ .

Factor the expression: $$8x^3 + 125$$

$$8x^3 + 125 = (2x + 5)(4x^2 - 10x + 25)$$ .

Factor the expression: $$x^3 + 8$$

$$x^3 + 8 = (x + 2)(x^2 - 2x + 4)$$ .

Which expression can be factored using the difference of two squares?

The expression $$144x^2 - 49y^2$$ can be factored using the difference of two squares.

Factor the expression: $$4x^2 - 9$$

$$4x^2 - 9 = (2x - 3)(2x + 3)$$ .

Factor the expression: $$x^2 - 16$$

$$x^2 - 16 = (x + 4)(x - 4)$$ .

What is the difference of squares formula?

The difference of squares formula is: $$a^2 - b^2 = (a - b)(a + b)$$ .

A cube is a number raised to the third power, represented as $$a^3$$ .

What is the relationship between the sum and difference of cubes?

The sum and difference of cubes are related through their formulas, which involve the same terms but differ in signs.

Sum and Difference of Cubes

Flashcard

•

Mathematics

•

10th - 12th Grade

•

Practice Problem

•

Hard

•

CCSS

HSA.APR.C.4, 6.EE.A.2C, 8.EE.A.2

Standards-aligned

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FLASHCARD QUESTION

Front

What is the formula for the sum of cubes?

Back

Tags

CCSS.6.EE.A.2C

FLASHCARD QUESTION

Front

What is the formula for the difference of cubes?

Back

Tags

CCSS.HSA.APR.C.4

FLASHCARD QUESTION

Front

Back

Tags

CCSS.HSA.APR.C.4

FLASHCARD QUESTION

Front

Back

Tags

CCSS.HSA.APR.C.4

FLASHCARD QUESTION

Front

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

Back

Tags

CCSS.HSA.APR.C.4

FLASHCARD QUESTION

Front

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

Back

Tags

CCSS.HSA.APR.C.4

FLASHCARD QUESTION

Front

Back

Tags

CCSS.HSA.APR.C.4

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