Question

Tick (✓) the correct answer: (2x + 3)(3x − 1) = ? (a) (6x2 + 8x − 3) (b) (6x2 + 7x − 3) (c) 6x2 − 7x − 3 (d) (6x2 − 7x + 3)

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Solution

(b) (6x2 + 7x − 3) $\left(2x+3\right)\left(3x-1\right)\phantom{\rule{0ex}{0ex}}⇒\left(2x\right)\left(3x-1\right)+\left(3\right)\left(3x-1\right)\phantom{\rule{0ex}{0ex}}⇒6{x}^{2}-2x+9x-3\phantom{\rule{0ex}{0ex}}⇒6{x}^{2}+7x-3$

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