Solve ( 1/4 x -y)(x^(2) 4xy 16y^(2)) 4(4y^(3)- 1/16 x

Question

Simplify the expression

\frac{256 y ^{6} x ^{3} - 4 y ^{3} - 1024 y ^{7} x ^{4} + 16 y ^{4} x}{x}

Evaluate

(1 \div 4 x - y) (x^{2} \times 4 x y \times 16 y^{2}) \times 4 (4 y^{3} - 1 \div (16 x^{3} \times 1))

Remove the parentheses

(1 \div 4 x - y) x^{2} \times 4 x y \times 16 y^{2} \times 4 (4 y^{3} - 1 \div (16 x^{3} \times 1))

Rewrite the expression

(\frac{1}{4 x} - y) x^{2} \times 4 x y \times 16 y^{2} \times 4 (4 y^{3} - 1 \div (16 x^{3} \times 1))

Subtract the terms

More Steps

\frac{1 - 4 y x}{4 x} \times x^{2} \times 4 x y \times 16 y^{2} \times 4 (4 y^{3} - 1 \div (16 x^{3} \times 1))

Multiply the terms

\frac{1 - 4 y x}{4 x} \times x^{2} \times 4 x y \times 16 y^{2} \times 4 (4 y^{3} - 1 \div 16 x^{3})

Rewrite the expression

\frac{1 - 4 y x}{4 x} \times x^{2} \times 4 x y \times 16 y^{2} \times 4 (4 y^{3} - \frac{1}{16 x ^{3}})

Subtract the terms

More Steps

\frac{1 - 4 y x}{4 x} \times x^{2} \times 4 x y \times 16 y^{2} \times 4 \times \frac{64 y ^{3} x ^{3} - 1}{16 x ^{3}}

Multiply the terms with the same base by adding their exponents

\frac{1 - 4 y x}{4 x} \times x^{2 + 1} \times 4 y \times 16 y^{2} \times 4 \times \frac{64 y ^{3} x ^{3} - 1}{16 x ^{3}}

Add the numbers

\frac{1 - 4 y x}{4 x} \times x^{3} \times 4 y \times 16 y^{2} \times 4 \times \frac{64 y ^{3} x ^{3} - 1}{16 x ^{3}}

Multiply the terms

More Steps

\frac{1 - 4 y x}{4 x} \times x^{3} \times 256 y \times y^{2} \times \frac{64 y ^{3} x ^{3} - 1}{16 x ^{3}}

Multiply the terms with the same base by adding their exponents

\frac{1 - 4 y x}{4 x} \times x^{3} \times 256 y^{1 + 2} \times \frac{64 y ^{3} x ^{3} - 1}{16 x ^{3}}

Add the numbers

\frac{1 - 4 y x}{4 x} \times x^{3} \times 256 y^{3} \times \frac{64 y ^{3} x ^{3} - 1}{16 x ^{3}}

Multiply the terms

More Steps

\frac{x ^{2} ( 1 - 4 y x )}{4} \times 256 y^{3} \times \frac{64 y ^{3} x ^{3} - 1}{16 x ^{3}}

Multiply the terms

More Steps

64 x^{2} (1 - 4 y x) y^{3} \times \frac{64 y ^{3} x ^{3} - 1}{16 x ^{3}}

Cancel out the common factor 16

4 x^{2} (1 - 4 y x) y^{3} \times \frac{64 y ^{3} x ^{3} - 1}{x ^{3}}

Cancel out the common factor x^{2}

4 (1 - 4 y x) y^{3} \times \frac{64 y ^{3} x ^{3} - 1}{x}

Multiply the terms

\frac{4 ( 1 - 4 y x ) y ^{3} ( 64 y ^{3} x ^{3} - 1 )}{x}

Solution

More Steps

\frac{256 y ^{6} x ^{3} - 4 y ^{3} - 1024 y ^{7} x ^{4} + 16 y ^{4} x}{x}

Show Solution

x = 0

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