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

The solution to expand (3x+4)(x^2-4x+5) is 3x^3-8x^2-x+20

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

expand

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

3 x^{3} - 8 x^{2} - x + 20

Solution steps

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

Distribute parentheses

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

Simplify

3 x x^{2} + 3 x (- 4 x) + 3 x \cdot 5 + 4 x^{2} + 4 (- 4 x) + 4 \cdot 5 : 3 x^{3} - 8 x^{2} - x + 20

= 3 x^{3} - 8 x^{2} - x + 20

(x + 6) (x + 4) (x + 3)

(x + 1) (x + 2) (x + 3) (x + 4)

\frac{1}{6} \div \frac{2}{3}

(- 3)^{2} + (4)^{2}

5 - (- 9)

What is expand (3x+4)(x^2-4x+5) ?
The solution to expand (3x+4)(x^2-4x+5) is 3x^3-8x^2-x+20