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Choose the correct simplification of (4x − 3)(3x2 − 4x − 3).


12x3 + 25x2 + 9


12x3 − 25x2 − 9


12x3 + 25x2 − 9


12x3 − 25x2 + 9 Choose the correct simplification of (4x − 3)(3x2 − 4x − 3).


12x3 + 25x2 + 9


12x3 − 25x2 − 9


12x3 + 25x2 − 9


12x3 − 25x2 + 9

Verified Answer :

JeanaShupp

Answer: \(12x^3-25x^2+9\)

Step-by-step explanation:

Given expression: \((4x-3)(3x^2-4x-3)\)

To simplify the above expression we apply the distributive property [ (b+c)a=ba+ca, where a,b, c be any expression] we get ,

\((4x-3)(3x^2-4x-3)\\\\=4x(3x^2-4x-3)-3(3x^2-4x-3)\\\\=12x^{1+2}-16x^{1+1}-12x-9x^2+12x+9.......\text{[by law of exponents]}\\\\=12x^{3}-16x^{2}-12x-9x^2+12x+9\\\\\text{Combing like terms, we get}\\\\=12x^3-(16+9)x^2-12x+12x+9\\\\=12x^3-25x^2+9\)

Ondinne

Answer:

\(12x^{3}-25x^{2}+9\)

Step-by-step explanation:

1. Write down the equation:

\((4x-3)(3x^{2}-4x-3)\)

2. Multiply the first term on the left parenthesis by each term on the right parenthesis:

\(4x*3x^{2}=12x^{3}\)

\(4x*(-4x)=-16x^{2}\)

\(4x*(-3)=-12x\)

3. Multiply the second term on the left parenthesis by each term on the right parenthesis:

\(-3*(3x^{2})=-9x^{2}\)

\(-3*(-4x)=12x\)

\(-3*(-3)=9\)

4. Add up all the terms:

\(12x^{3}-16x^{2}-12x-9x^{2}+12x+9\)

Simplify:

\(12x^{3}-25x^{2}+9\)

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