Solve 64x^6 - 216y^3

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Type your math problem... 64x^6 - 216y^3

Question

64 x^{6} - 216 y^{3}

Factor the expression

8 (2 x^{2} - 3 y) (4 x^{4} + 6 x^{2} y + 9 y^{2})

Evaluate

64 x^{6} - 216 y^{3}

Factor out 8 from the expression

8 (8 x^{6} - 27 y^{3})

Solution

More Steps

Evaluate

8 x^{6} - 27 y^{3}

Rewrite the expression in exponential form

(2 x^{2})^{3} - (3 y)^{3}

Use a^{3} - b^{3} = (a - b) (a^{2} + ab + b^{2}) to factor the expression

(2 x^{2} - 3 y) ((2 x^{2})^{2} + 2 x^{2} \times 3 y + (3 y)^{2})

Evaluate

More Steps

Evaluate

(2 x^{2})^{2}

To raise a product to a power,raise each factor to that power

2^{2} (x^{2})^{2}

Evaluate the power

4 (x^{2})^{2}

Evaluate the power

4 x^{4}

(2 x^{2} - 3 y) (4 x^{4} + 2 x^{2} \times 3 y + (3 y)^{2})

Multiply the numbers

(2 x^{2} - 3 y) (4 x^{4} + 6 x^{2} y + (3 y)^{2})

Evaluate

More Steps

Evaluate

(3 y)^{2}

To raise a product to a power,raise each factor to that power

3^{2} y^{2}

Evaluate the power

9 y^{2}

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

8 (2 x^{2} - 3 y) (4 x^{4} + 6 x^{2} y + 9 y^{2})

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