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Factorisation Using Algebraic Identities

The product o...

Question

The product of $x + 3$ and $2 x - 1$ is

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Solution

we need to find out the product of $x + 3$ and $2 x - 1$
$(x + 3) (2 x - 1) = x (2 x) + 3 (2 x) + x (- 1) + 3 (- 1)$
$= 2 x^{2} + 6 x - x - 3$
$= 2 x^{2} + 5 x - 3$
Hence $,$ the product of $x + 3$ and $2 x - 1$ is $2 x^{2} + 5 x - 3$

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