What is 3x^2(5x-6)-2(4x+7)+6x^3-5+8x^2-9x ?

The solution to 3x^2(5x-6)-2(4x+7)+6x^3-5+8x^2-9x is 21x^3-10x^2-17x-19

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simplify 3x^2(5x-6)-2(4x+7)+6x^3-5+8x^2-9x

simplify

3 x^{2} (5 x - 6) - 2 (4 x + 7) + 6 x^{3} - 5 + 8 x^{2} - 9 x

21 x^{3} - 10 x^{2} - 17 x - 19

Solution steps

3 x^{2} (5 x - 6) - 2 (4 x + 7) + 6 x^{3} - 5 + 8 x^{2} - 9 x

Expand

3 x^{2} (5 x - 6) : 15 x^{3} - 18 x^{2}

= 15 x^{3} - 18 x^{2} - 2 (4 x + 7) + 6 x^{3} - 5 + 8 x^{2} - 9 x

Expand

- 2 (4 x + 7) : - 8 x - 14

= 15 x^{3} - 18 x^{2} - 8 x - 14 + 6 x^{3} - 5 + 8 x^{2} - 9 x

Group like terms

= 15 x^{3} + 6 x^{3} - 18 x^{2} + 8 x^{2} - 8 x - 9 x - 14 - 5

Add similar elements:

15 x^{3} + 6 x^{3} = 21 x^{3}

= 21 x^{3} - 18 x^{2} + 8 x^{2} - 8 x - 9 x - 14 - 5

Add similar elements:

- 18 x^{2} + 8 x^{2} = - 10 x^{2}

= 21 x^{3} - 10 x^{2} - 8 x - 9 x - 14 - 5

Add similar elements:

- 8 x - 9 x = - 17 x

= 21 x^{3} - 10 x^{2} - 17 x - 14 - 5

Subtract the numbers:

- 14 - 5 = - 19

= 21 x^{3} - 10 x^{2} - 17 x - 19

\frac{2}{3} \div 12

- 22 - 22

7 \times 20

7 \times (- 8)

2 lo g_{3} (2)

What is 3x^2(5x-6)-2(4x+7)+6x^3-5+8x^2-9x ?
The solution to 3x^2(5x-6)-2(4x+7)+6x^3-5+8x^2-9x is 21x^3-10x^2-17x-19