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

The solution to expand (3x+4)(5x-2)(4x-3) is 60x^3+11x^2-74x+24

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

expand

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

60 x^{3} + 11 x^{2} - 74 x + 24

Solution steps

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

Expand

(3 x + 4) (5 x - 2) (4 x - 3) : (15 x^{2} + 14 x - 8) (4 x - 3)

= (15 x^{2} + 14 x - 8) (4 x - 3)

Distribute parentheses

= 15 x^{2} \cdot 4 x + 15 x^{2} (- 3) + 14 x \cdot 4 x + 14 x (- 3) - 8 \cdot 4 x - 8 (- 3)

Simplify

15 x^{2} \cdot 4 x + 15 x^{2} (- 3) + 14 x \cdot 4 x + 14 x (- 3) - 8 \cdot 4 x - 8 (- 3) : 60 x^{3} + 11 x^{2} - 74 x + 24

= 60 x^{3} + 11 x^{2} - 74 x + 24

x^{4} + 7 x^{2} + 18 x + 10

\frac{x ^{2} + 10 x - 24}{x - 2}

x^{3} - x^{2} - 25 x + 25

2 \times \frac{1}{9}

27 \times 3

What is expand (3x+4)(5x-2)(4x-3) ?
The solution to expand (3x+4)(5x-2)(4x-3) is 60x^3+11x^2-74x+24