Solve (3m-4n)(5m+8n)

Evaluate

(3 m - 4 n) (5 m + 8 n)

Apply the distributive property

3 m \times 5 m + 3 m \times 8 n - 4 n \times 5 m - 4 n \times 8 n

Multiply the terms

More Steps

15 m^{2} + 3 m \times 8 n - 4 n \times 5 m - 4 n \times 8 n

Multiply the numbers

15 m^{2} + 24 mn - 4 n \times 5 m - 4 n \times 8 n

Multiply the numbers

15 m^{2} + 24 mn - 20 nm - 4 n \times 8 n

Multiply the terms

More Steps

15 m^{2} + 24 mn - 20 nm - 32 n^{2}

Solution

More Steps

15 m^{2} + 4 mn - 32 n^{2}

Simplify the expression