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

The solution to (2x+3)(4x^2-6x+9)-(2x)(4x^2) is 27

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

simplify

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

27

Solution steps

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

Expand

(2 x + 3) (4 x^{2} - 6 x + 9) : 8 x^{3} + 27

= 8 x^{3} + 27 - 2 x \cdot 4 x^{2}

Simplify

2 x \cdot 4 x^{2} : 8 x^{3}

= 8 x^{3} + 27 - 8 x^{3}

Group like terms

= 8 x^{3} - 8 x^{3} + 27

Add similar elements:

8 x^{3} - 8 x^{3} = 0

= 27

\frac{5 - 3 m}{- 3 m + 5}

9 (x + 1) - 3 (x + 1)^{2}

8 - 18 + 72

\frac{1}{\frac{3}{6}}

\frac{80}{360}

What is (2x+3)(4x^2-6x+9)-(2x)(4x^2) ?
The solution to (2x+3)(4x^2-6x+9)-(2x)(4x^2) is 27