Question

Simplify. −3x^3(−2x^2+4x−3)

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

-thanks

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}`