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X^8(1 X)^6

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Type your math problem... x^8(1-x)^6

Question

Simplify the expression

Solution

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x^{8} - 6 x^{9} + 15 x^{10} - 20 x^{11} + 15 x^{12} - 6 x^{13} + x^{14}

Evaluate

x^{8} (1 - x)^{6}

Expand the expression

x^{8} (1 - 6 x + 15 x^{2} - 20 x^{3} + 15 x^{4} - 6 x^{5} + x^{6})

Apply the distributive property

x^{8} \times 1 - x^{8} \times 6 x + x^{8} \times 15 x^{2} - x^{8} \times 20 x^{3} + x^{8} \times 15 x^{4} - x^{8} \times 6 x^{5} + x^{8} \times x^{6}

Any expression multiplied by 1 remains the same

x^{8} - x^{8} \times 6 x + x^{8} \times 15 x^{2} - x^{8} \times 20 x^{3} + x^{8} \times 15 x^{4} - x^{8} \times 6 x^{5} + x^{8} \times x^{6}

Multiply the terms

More Steps

x^{8} - 6 x^{9} + x^{8} \times 15 x^{2} - x^{8} \times 20 x^{3} + x^{8} \times 15 x^{4} - x^{8} \times 6 x^{5} + x^{8} \times x^{6}

Multiply the terms

More Steps

x^{8} - 6 x^{9} + 15 x^{10} - x^{8} \times 20 x^{3} + x^{8} \times 15 x^{4} - x^{8} \times 6 x^{5} + x^{8} \times x^{6}

Multiply the terms

More Steps

x^{8} - 6 x^{9} + 15 x^{10} - 20 x^{11} + x^{8} \times 15 x^{4} - x^{8} \times 6 x^{5} + x^{8} \times x^{6}

Multiply the terms

More Steps

x^{8} - 6 x^{9} + 15 x^{10} - 20 x^{11} + 15 x^{12} - x^{8} \times 6 x^{5} + x^{8} \times x^{6}

Multiply the terms

More Steps

x^{8} - 6 x^{9} + 15 x^{10} - 20 x^{11} + 15 x^{12} - 6 x^{13} + x^{8} \times x^{6}

Solution

More Steps

x^{8} - 6 x^{9} + 15 x^{10} - 20 x^{11} + 15 x^{12} - 6 x^{13} + x^{14}

Show Solution

Find the roots

Find the roots of the algebra expression

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x_{1} = 0, x_{2} = 1

Show Solution