What is expand (7x-4)(x^3-x^2+6) ?

The solution to expand (7x-4)(x^3-x^2+6) is 7x^4-11x^3+4x^2+42x-24

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expand (7x-4)(x^3-x^2+6)

expand

(7 x - 4) (x^{3} - x^{2} + 6)

7 x^{4} - 11 x^{3} + 4 x^{2} + 42 x - 24

Solution steps

(7 x - 4) (x^{3} - x^{2} + 6)

Distribute parentheses

= 7 x x^{3} + 7 x (- x^{2}) + 7 x \cdot 6 - 4 x^{3} - 4 (- x^{2}) - 4 \cdot 6

Simplify

7 x x^{3} + 7 x (- x^{2}) + 7 x \cdot 6 - 4 x^{3} - 4 (- x^{2}) - 4 \cdot 6 : 7 x^{4} - 11 x^{3} + 4 x^{2} + 42 x - 24

= 7 x^{4} - 11 x^{3} + 4 x^{2} + 42 x - 24

\frac{20}{72}

- 590 + 340

- 8 \cdot (- 9)

- 1 \cdot x^{2}

7 (8 q) + 5 q

What is expand (7x-4)(x^3-x^2+6) ?
The solution to expand (7x-4)(x^3-x^2+6) is 7x^4-11x^3+4x^2+42x-24