Solve 4(x y)(3a-b) 6(x y)(2b-3a)

Evaluate

4 x y (3 a - b) \times 6 x y (2 b - 3 a)

Multiply the terms

24 x y (3 a - b) x y (2 b - 3 a)

Multiply the terms

24 x^{2} y (3 a - b) y (2 b - 3 a)

Multiply the terms

24 x^{2} y^{2} (3 a - b) (2 b - 3 a)

Multiply the terms

More Steps

(72 x^{2} y^{2} a - 24 x^{2} y^{2} b) (2 b - 3 a)

Apply the distributive property

72 x^{2} y^{2} a \times 2 b - 72 x^{2} y^{2} a \times 3 a - 24 x^{2} y^{2} b \times 2 b - (- 24 x^{2} y^{2} b \times 3 a)

Multiply the numbers

144 x^{2} y^{2} ab - 72 x^{2} y^{2} a \times 3 a - 24 x^{2} y^{2} b \times 2 b - (- 24 x^{2} y^{2} b \times 3 a)

Multiply the terms

More Steps

144 x^{2} y^{2} ab - 216 x^{2} y^{2} a^{2} - 24 x^{2} y^{2} b \times 2 b - (- 24 x^{2} y^{2} b \times 3 a)

Multiply the terms

More Steps

144 x^{2} y^{2} ab - 216 x^{2} y^{2} a^{2} - 48 x^{2} y^{2} b^{2} - (- 24 x^{2} y^{2} b \times 3 a)

Multiply the numbers

144 x^{2} y^{2} ab - 216 x^{2} y^{2} a^{2} - 48 x^{2} y^{2} b^{2} - (- 72 x^{2} y^{2} ba)

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

144 x^{2} y^{2} ab - 216 x^{2} y^{2} a^{2} - 48 x^{2} y^{2} b^{2} + 72 x^{2} y^{2} ba

Solution

More Steps

216 x^{2} y^{2} ab - 216 x^{2} y^{2} a^{2} - 48 x^{2} y^{2} b^{2}

Simplify the expression