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Q: What are the factors of 64x3 plus 343y3?

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(2x + 1)(x + 3) are the factors.

The factors are 2n(4n + 3).

That factors to (b + 3)(a + c)

Factors are normally positive and so the factors needed are 6 plus 8 = 14 but not -14

8a times (2 + 1)

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true

192

343y3

125x3+343y3 can also be written (5x)3+(7y)3. It helps to rewrite the constants like this because there is a general factoring rule: a3+b3 = (a+b)(a2-ab+b2). In this example, the a is 5x and the b is 7y. Plug in and get (5x+7y)(25x2-35xy+49y2).

The value of 64x3 + 27 depends on the value of x. If the question required factorisation, but did not ask for it, the answer is: (4x + 3)(16x2 - 12x + 9)

This would have been easier to answer if you had told us what the following choices were, but if they include (4x + 7) or (16x2 - 28x + 49), choose one of them.

(4x)3 = 64x3 y0 = 1

The difference of cubes has a formula. (4x - y)(16x2 + 4xy + y2)

51.07142857142857

(2x + 1)(x + 3) are the factors.

The factors of 72 are 1,2,3,4,6,8,9,12,18,24,36,72.

The factors are 2n(4n + 3).

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