Question

Simplify. −3x^3(−2x^2+4x−3)

Answer 1

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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$\bold{\rightarrow Mordancy \leftarrow}$