Question

Which expression of is equivalent to 1/3(9 - 18x) + 1/4(8x - 12

Answer 1

following expression  $1/3(9 - 18x) + 1/4(8x - 12)$ is equal to  $-4x$ . Kindly match with your options!

Step-by-step explanation:

Here we have , following expression to evaluate . 1/3(9 - 18x) + 1/4(8x - 12 or , $1/3(9 - 18x) + 1/4(8x - 12)$ :

⇒ $\frac{1}{3}(9 - 18x) + \frac{1}{4}(8x - 12)$

⇒ $\frac{1(4)}{3(4)}(9 - 18x) + \frac{1(3)}{4(3)}(8x - 12)$

⇒ $\frac{(9 - 18x)(4)}{3(4)} + \frac{(8x - 12)(3)}{4(3)}$           { Making denominator of both terms same ! }

⇒ $\frac{(9 - 18x)(4)+(8x - 12)(3)}{12}$

⇒ $\frac{9(4) - 18(4)x+8(3)x - 12(3)}{12}$

⇒ $\frac{36- 72x+24x - 36}{12}$

⇒ $\frac{ -48x}{12}$           { Simplifying even further }

⇒ $-4x$

Therefore , following expression  $1/3(9 - 18x) + 1/4(8x - 12)$ is equal to  $-4x$ . Kindly match with your options!