question solution

(2 x + 5) (3 x - 4)

3 steps

Expand the expression

Apply theDistributive Property

2 x (3 x - 4) + 5 (3 x - 4)

Apply theDistributive Property

Apply theDistributive Property

2 x \times 3 x - 2 x \times 4 + 5 (3 x - 4)

Apply theDistributive Property

2 x \times 3 x - 2 x \times 4 + 5 \times 3 x - 5 \times 4

Apply theDistributive Property

2 x \times 3 x - 2 x \times 4 + 5 \times 3 x - 5 \times 4

2 x \times 3 x - 2 x \times 4 + 5 \times 3 x - 5 \times 4

3 steps

Mutiply

Multiply themonomials

6 x^{2} - 2 x \times 4 + 5 \times 3 x - 5 \times 4

Multiply themonomials

Multiply themonomials

6 x^{2} - 8 x + 5 \times 3 x - 5 \times 4

Multiply themonomials

6 x^{2} - 8 x + 15 x - 5 \times 4

Multiply themonomials

6 x^{2} - 8 x + 15 x - 5 \times 4

6 x^{2} - 8 x + 15 x - 5 \times 4

Calculate

Calculate the product or quotient

6 x^{2} - 8 x + 15 x - 20

6 x^{2} - 8 x + 15 x - 20

3 steps

Combine like terms

Reorder and gather like terms

6 x^{2} + (- 8 x + 15 x) - 20

Collect coefficients of like terms

Collect coefficients of like terms

6 x^{2} + (- 8 + 15) \times x - 20

Calculate the sum or difference

6 x^{2} + 7 x - 20

Calculate the sum or difference

6 x^{2} + 7 x - 20

6 x^{2} + 7 x - 20

Answer

6 x^{2} + 7 x - 20