Solve y(x-8)(x-8) (y 12)(x^2y - 8xy)

Question

Simplify the expression

12 y^{3} x^{4} - 288 y^{3} x^{3} + 2304 y^{3} x^{2} - 6144 y^{3} x

Evaluate

y (x - 8) (x - 8) (y \times 12) (x^{2} y - 8 x y)

Remove the parentheses

y (x - 8) (x - 8) y \times 12 (x^{2} y - 8 x y)

Multiply the terms

y^{2} (x - 8) (x - 8) \times 12 (x^{2} y - 8 x y)

Use the commutative property to reorder the terms

12 y^{2} (x - 8) (x - 8) (x^{2} y - 8 x y)

Multiply the first two terms

12 y^{2} (x - 8)^{2} (x^{2} y - 8 x y)

Expand the expression

More Steps

12 y^{2} (x^{2} - 16 x + 64) (x^{2} y - 8 x y)

Multiply the terms

More Steps

(12 y^{2} x^{2} - 192 y^{2} x + 768 y^{2}) (x^{2} y - 8 x y)

Apply the distributive property

12 y^{2} x^{2} \times x^{2} y - 12 y^{2} x^{2} \times 8 x y - 192 y^{2} x \times x^{2} y - (- 192 y^{2} x \times 8 x y) + 768 y^{2} x^{2} y - 768 y^{2} \times 8 x y

Multiply the terms

More Steps

12 y^{3} x^{4} - 12 y^{2} x^{2} \times 8 x y - 192 y^{2} x \times x^{2} y - (- 192 y^{2} x \times 8 x y) + 768 y^{2} x^{2} y - 768 y^{2} \times 8 x y

Multiply the terms

More Steps

12 y^{3} x^{4} - 96 y^{3} x^{3} - 192 y^{2} x \times x^{2} y - (- 192 y^{2} x \times 8 x y) + 768 y^{2} x^{2} y - 768 y^{2} \times 8 x y

Multiply the terms

More Steps

12 y^{3} x^{4} - 96 y^{3} x^{3} - 192 y^{3} x^{3} - (- 192 y^{2} x \times 8 x y) + 768 y^{2} x^{2} y - 768 y^{2} \times 8 x y

Multiply the terms

More Steps

12 y^{3} x^{4} - 96 y^{3} x^{3} - 192 y^{3} x^{3} - (- 1536 y^{3} x^{2}) + 768 y^{2} x^{2} y - 768 y^{2} \times 8 x y

Multiply the terms

More Steps

12 y^{3} x^{4} - 96 y^{3} x^{3} - 192 y^{3} x^{3} - (- 1536 y^{3} x^{2}) + 768 y^{3} x^{2} - 768 y^{2} \times 8 x y

Multiply the terms

More Steps

12 y^{3} x^{4} - 96 y^{3} x^{3} - 192 y^{3} x^{3} - (- 1536 y^{3} x^{2}) + 768 y^{3} x^{2} - 6144 y^{3} x

If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses

12 y^{3} x^{4} - 96 y^{3} x^{3} - 192 y^{3} x^{3} + 1536 y^{3} x^{2} + 768 y^{3} x^{2} - 6144 y^{3} x

Subtract the terms

More Steps

12 y^{3} x^{4} - 288 y^{3} x^{3} + 1536 y^{3} x^{2} + 768 y^{3} x^{2} - 6144 y^{3} x

Solution

More Steps

12 y^{3} x^{4} - 288 y^{3} x^{3} + 2304 y^{3} x^{2} - 6144 y^{3} x

Show Solution

Factor the expression

12 y^{3} x (x - 8)^{3}

Show Solution