Solve (x^( 3/2 ) root(2)(17x) x^(2)y root(2)(34))(x^(

Question

Simplify the expression

1734 \times x^{6} y - 3417 \times x^{6} y^{2}

Evaluate

(x^{\frac{3}{2}} 17 x \times x^{2} y 34) (x^{\frac{3}{2}} 17 x - x^{2} y 34)

Remove the parentheses

x^{\frac{3}{2}} 17 x \times x^{2} y 34 \times (x^{\frac{3}{2}} 17 x - x^{2} y 34)

Multiply the terms

More Steps

x^{\frac{3}{2}} 17 x \times x^{2} y 34 \times (17 \times x^{2} - x^{2} y 34)

Calculate the product

x^{\frac{3}{2}} 17 x \times x^{2} y 34 \times (17 \times x^{2} - 34 \times x^{2} y)

Multiply the terms with the same base by adding their exponents

x^{\frac{3}{2} + 2} 17 x \times y 34 \times (17 \times x^{2} - 34 \times x^{2} y)

Add the numbers

More Steps

x^{\frac{7}{2}} 17 x \times y 34 \times (17 \times x^{2} - 34 \times x^{2} y)

Multiply the terms

More Steps

172 \times x^{4} y (17 \times x^{2} - 34 \times x^{2} y)

Apply the distributive property

172 \times x^{4} y 17 \times x^{2} - 172 \times x^{4} y 34 \times x^{2} y

Multiply the terms

More Steps

1734 \times x^{6} y - 172 \times x^{4} y 34 \times x^{2} y

Solution

More Steps

1734 \times x^{6} y - 3417 \times x^{6} y^{2}

Show Solution

1734 \times x^{6} y (1 - 2 \times y)

Evaluate

(x^{\frac{3}{2}} 17 x \times x^{2} y 34) (x^{\frac{3}{2}} 17 x - x^{2} y 34)

Remove the parentheses

x^{\frac{3}{2}} 17 x \times x^{2} y 34 \times (x^{\frac{3}{2}} 17 x - x^{2} y 34)

Multiply the terms

More Steps

x^{\frac{3}{2}} 17 x \times x^{2} y 34 \times (17 \times x \times x - x^{2} y 34)

Calculate the product

x^{\frac{3}{2}} 17 x \times x^{2} y 34 \times (17 \times x \times x - 34 \times x^{2} y)

Multiply

More Steps

172 \times x^{4} y (17 \times x \times x - 34 \times x^{2} y)

Factor the expression

More Steps

172 \times x^{4} y 17 \times x^{2} (1 - 2 \times y)

Solution

1734 \times x^{6} y (1 - 2 \times y)

Show Solution