Maths Watch homework

The question in the image has completely stumped my teacher and I can't work out the answer so I would like some help. Thanks

Algebra

Algebraic Fraction

#Algebra

Easy Math Editor

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`2 \times 3`	$2 \times 3$
`2^{34}`	$2^{34}$
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Comments

Ok, I got different answer.

$\large 2 - \frac{x + 1}{x - 2} - \frac{x - 4}{x + 2}$

$\implies \large \frac{2(x - 2)(x + 2) - (x - 1)(x + 2) - (x - 4)(x - 2)}{(x - 2)(x + 2)}$

$\implies \large \frac{2(x^2 - 4) - (x^2 + 3x + 2) - (x^2 - 6x + 8)}{x^2 - 4}$

$\implies \large \frac{2x^2 - 8 - x^2 - 3x - 2 - x^2 + 6x - 8}{x^2 - 4}$

$\implies \large \frac{3x - 18}{x^2 - 4}$

Therefore, $a = 3,b = -18$

Ram Mohith - 3 years ago

@Ram Mohith Yes you are right........what I did as, broke the fractions with only a constant in the numerator.........

i.e. the first fraction becomes

1 + 3/(x-2)
and the second becomes

1 - 6/(x+2)
Then, it is simple enough.....!!

Aaghaz Mahajan - 3 years ago

@Solomon Levy A=9 and B=-6

Aaghaz Mahajan - 3 years ago

But I got different answer. Can you show your working.

Ram Mohith - 3 years ago

@Ram Mohith Thanks!!! I rechecked my calculations and saw that I had made a silly mistake.......!! Your answer is ABSOLUTELY correct!!!

Aaghaz Mahajan - 3 years ago

this has now been solved on another website however the answer was A=3 B=-18

Solomon Levy - 3 years ago

Math	Appears as
Remember to wrap math in `\(` ... `\)` or `\[` ... `\]` to ensure proper formatting.
`2 \times 3`	$2 \times 3$
`2^{34}`	$2^{34}$
`a_{i-1}`	$a_{i-1}$
`\frac{2}{3}`	$\frac{2}{3}$
`\sqrt{2}`	$\sqrt{2}$
`\sum_{i=1}^3`	$\sum_{i=1}^3$
`\sin \theta`	$\sin \theta$
`\boxed{123}`	$\boxed{123}$