Sum and Difference of Two Cubes Answers

Find the cube root.

Simplify.

Factor the expression.

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Choose the expressions that are sums or differences of two cubes.

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What is a? ✔ 2q²r8q²r2q³r8q³r

Use the identity below to complete the tasks: a3 + b3 = (a + b)(a2 - ab + b2) Use the identity for the sum of two cubes to factor 8q6r3 + 27s6t3.

What is a? ✔ 5q²125q²5q³125q³

Factor x3y6 + 27z42.

Choose the expression that represents the total volume of the cubes.

What is b? 3s³t8s²t✔ 3s²t8s³t

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What is b? r³sr²s²rs²✔ r²s

Factor t12 – r3s15.

The cubes have a combined volume that is the same as a rectangular prism of the same height. What is the area of the base of the rectangular prism? (Recall: V = Bh)

Use the identity below to complete the tasks: a3 − b3 = (a − b)(a2 + ab + b2) When using the identity for the sum of two cubes to factor 125q6 − r6s3.