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Applications of Dot Product

Multiply 15a2...

Question

Multiply $15 a^{2} b + 6 c$ by $- 5 a b$

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Solution

Given $15 a^{2} b + 6 c$ by $- 5 a b$
Multiply $15 a^{2} b + 6 c$ by $- 5 a b$ i.e,
$(15 a^{2} b + 6 c) \times (- 5 a b) (15 a^{2} b \times - 5 a b) + (6 c \times (- 5 a b) - 75 a^{3} b^{2} - 30 a b c$ by $- 5 a b$
Hence, the multiplication of $15 a^{2} b + 6 c$ by $- 5 a b$ is $- 75 a^{3} b^{2} - 30 a b c$

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Multiply $3 a^{2} b - 5 a b b y 3 a b$

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