What is expand (3x+4)(5x^2-7x+2) ?

The solution to expand (3x+4)(5x^2-7x+2) is 15x^3-x^2-22x+8

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expand (3x+4)(5x^2-7x+2)

expand

(3 x + 4) (5 x^{2} - 7 x + 2)

15 x^{3} - x^{2} - 22 x + 8

Solution steps

(3 x + 4) (5 x^{2} - 7 x + 2)

Distribute parentheses

= 3 x \cdot 5 x^{2} + 3 x (- 7 x) + 3 x \cdot 2 + 4 \cdot 5 x^{2} + 4 (- 7 x) + 4 \cdot 2

Simplify

3 x \cdot 5 x^{2} + 3 x (- 7 x) + 3 x \cdot 2 + 4 \cdot 5 x^{2} + 4 (- 7 x) + 4 \cdot 2 : 15 x^{3} - x^{2} - 22 x + 8

= 15 x^{3} - x^{2} - 22 x + 8

2 (- \frac{1}{2})^{2}

(m^{2} + 2 mn) - (mn + n^{2})

x^{2} + 5 x + 2 x + 10

- \frac{1}{2} + (- \frac{4}{9})

4 i^{3} - 2 i^{2} + 1

What is expand (3x+4)(5x^2-7x+2) ?
The solution to expand (3x+4)(5x^2-7x+2) is 15x^3-x^2-22x+8