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!

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)` :

⇒
`(1)/(3)(9 - 18x) + (1)/(4)(8x - 12)`

⇒
`(1(4))/(3(4))(9 - 18x) + (1(3))/(4(3))(8x - 12)`

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

⇒
`((9 - 18x)(4)+(8x - 12)(3))/(12)`

⇒
`(9(4) - 18(4)x+8(3)x - 12(3))/(12)`

⇒
`(36- 72x+24x - 36)/(12)`

⇒
`( -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!