Solve ( 2 a - 5 b ) ( 4 a - 3 b )

Evaluate

(2 a - 5 b) (4 a - 3 b)

Apply the distributive property

2 a \times 4 a - 2 a \times 3 b - 5 b \times 4 a - (- 5 b \times 3 b)

Multiply the terms

More Steps

8 a^{2} - 2 a \times 3 b - 5 b \times 4 a - (- 5 b \times 3 b)

Multiply the numbers

8 a^{2} - 6 ab - 5 b \times 4 a - (- 5 b \times 3 b)

Multiply the numbers

8 a^{2} - 6 ab - 20 ba - (- 5 b \times 3 b)

Multiply the terms

More Steps

8 a^{2} - 6 ab - 20 ba - (- 15 b^{2})

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

8 a^{2} - 6 ab - 20 ba + 15 b^{2}

Solution

More Steps

8 a^{2} - 26 ab + 15 b^{2}

Simplify the expression