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Mathematics

Multiply :

6x3 - 5x + 10 by 4 - 3x2

Algebraic Expressions

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Answer

(6x3 - 5x + 10) ×\times (4 - 3x2)

= 4 ×\times (6x3 - 5x + 10) - 3x2 ×\times (6x3 - 5x + 10)

= 24x3 - 20x + 40 - 18x(3+2) + 15x(1+2) - 30x2

= 24x3 - 20x + 40 - 18x5 + 15x3 - 30x2

= - 18x5 + 24x3 + 15x3 - 30x2 - 20x + 40

= - 18x5 + 39x3 - 30x2 - 20x + 40

Hence, (6x3 - 5x + 10) x (4 - 3x2) = - 18x5 + 39x3 - 30x2 - 20x + 40

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