Question

2 ?'s help?

Simplify 4 x all over 9 plus quantity x minus 10 over 9


&

Simplify quantity t squared plus 6 t over the quantity t minus 1 end quantity minus 7 over quantity t minus 1

Answer 1

#1\[\frac{ 4x }{ 9+\frac{ x-10 }{ 9 } }\]

does this look right?

Answer 2

no its,\[\frac{ 4x }{ 9 }+\frac{ x-10 }{ 9 }\]

That's the first one.

Answer 3

hint:
\[\frac{ a }{ b }+\frac{ c }{ b } = \frac{ a+c }{ b }\]

Answer 4

oh okay, well because you have a common denominator you can just add the numerators


so you have \[\frac{ 5x-10 }{ 9 }\]

Answer 5

\[\frac{ 5(x-2) }{ 9 }\]

Answer 6

Okay.

Answer 7

?

Answer 8

?

Answer 9

now write down the 2nd question

Answer 10

\[\frac{ t^2+6t }{ t-1}-\frac{ 7 }{ t-1 }\]

second one.

Answer 11

since they're common denominators you can subtract them:\[\frac{ t^{2}+6x-7 }{ t-1 }\]

Answer 12

factor the numerator

Answer 13

\[\frac{ (t-1)(t+6) }{ t-1 }\]

Answer 14

t-1 cancels

you're left with

t+6

Answer 15

Thank you.