Question

HELPPPPPPPPPPPPPPPPPP

Answer 1

Given expression :
`(9)/(4)-2(4x+(4)/(3) )+(5)/(2)x` ......[1]

Using distributive property:
`a\cdot (b+c) =a\cdot b + a\cdot c`

[1]⇒
`(9)/(4) - 2(4x) - 2((4)/(3))+(5)/(2) x`

Simplify:

`(9)/(4) - 8x - (8)/(3)+(5)/(2)x`

Like terms are those terms which are same variables.

Combine like terms: we get;

`((9)/(4) - (8)/(3)) - 8x + (5)/(2)x` ......[2]

`(27-32)/(12) -8x +(5)/(2) x`

Simplify:

`(-5)/(12) -8x +(5)/(2)x`

or

`(-5)/(12) - (11)/(2)x`

we can write equation [2] as;

`(27)/(12) - (8)/(3) - 8x + (5)/(2)x`

Combine like terms of x variables;

`(27)/(12) - (8)/(3) - (11)/(2)x`

Therefore, the expressions which are equivalent to the Given expression are:

`(9)/(4) - 2(4x) - 2((4)/(3))+(5)/(2) x`

`(-5)/(12) -8x +(5)/(2)x`

`(27)/(12) - (8)/(3) - (11)/(2)x`

`(-11)/(2)x - (5)/(2)`