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Multiplication of Any Polynomial

Simplify: 2...

Question

Simplify: $(2 a + 3 b) (5 a + 4 b)$

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Solution

We will first solve $2 a (5 a + 4 b) & 3 b (5 a + 4 b)$ and then add both of the products.
$\Rightarrow 2 a (5 a + 4 b) + 3 b (5 a + 4 b)$
$\Rightarrow 10 a^{2} + 8 a b + 15 a b + 12 b^{2}$
$\Rightarrow 10 a^{2} + 23 a b + 12 b^{2}$
Hence, the answer is $10 a^{2} + 23 a b + 12 b^{2} .$

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