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Multiplication of Any Polynomial

Multiply : m...

Question

Multiply : $(m^{2} - 5) \times (m^{3} + 2 m - 2)$

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Solution

$(m^{2} - 5) \times (m^{3} + 2 m - 2)$
$= m^{2} \times (m^{3} + 2 m - 2) - 5 \times (m^{3} + 2 m - 2)$
$= m^{5} + 2 m^{3} - 2 m^{2} - 5 m^{3} - 10 m + 10$
$= m^{5} - 3 m^{3} - 2 m^{2} - 10 m + 10$

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