Question 73

2x — 3y is a factor of:

Solution

$$4x^2 + 2x - 3y + 9y^2 - 12xy=4x^2+9y^2-12xy+2x-3y$$

$$=\left(2x-3y\right)^2+2x-3y$$

$$=\left(2x-3y\right)\left(2x-3y+1\right)$$

$$\therefore\ $$ $$2x+3y$$ is factor of $$4x^2 + 2x - 3y + 9y^2 - 12xy$$

Hence, the correct answer is Option A

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