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Simplify. −3x^3(−2x^2+4x−3)

please also explain how you got your answer I need help understanding this.

-thanks

Simplify. −3x^3(−2x^2+4x−3) please also explain how you got your answer I need help-example-1
User Hookenz
by
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1 Answer

3 votes

Assignment:
\bold{Simplify \ Equation: \ -3x^3\left(-2x^2+4x-3\right)}

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Answer:
\boxed{\bold{6x^5-12x^4+9x^3}}

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Explanation:
\downarrow\downarrow\downarrow

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[ Step One ] Distribute Parenthesis


\bold{\left(-3x^3\right)\left(-2x^2\right)+\left(-3x^3\right)\cdot \:4x+\left(-3x^3\right)\left(-3\right)}

[ Step Two ] Apply Minus & Plus Rules

Note:
\bold{Minus \ And \ Plus \ Rules: \ \left(-a\right)\left(-b\right)=ab,\:\:+\left(-a\right)=-a}


\bold{3\cdot \:2x^3x^2-3\cdot \:4x^3x+3\cdot \:3x^3}

[ Step Three ] Simplify
\bold{3\cdot \:2x^3x^2-3\cdot \:4x^3x+3\cdot \:3x^3}


\bold{6x^5-12x^4+9x^3}

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\bold{\rightarrow Mordancy \leftarrow}

User Erakk
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