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(x±a)(x±b) = x²±(a+b)x+ab.

Expand the fo...

Question

Expand the following:

$(i v) (3 x + 4) (2 x - 1)$

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Solution

Given: Expression is $(3 x + 4) (2 x - 1)$ .
Now, expand the given binomials by multiplying $(2 x - 1)$ with each term of $(3 x + 4)$ .
$\Rightarrow (3 x + 4) (2 x - 1) = 3 x \times (2 x - 1) + 4 \times (2 x - 1)$
$= 6 x^{2} - 3 x + 8 x - 4$
$= 6 x^{2} + 5 x - 4$
Hence, $(3 x + 4) (2 x - 1) = 6 x^{2} + 5 x - 4$ .

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(x±a)(x±b) = x²±(a+b)x+ab.

Standard IX Mathematics

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