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SVETLANKA909090 [29]
3 years ago
13

Simplify into one fraction

Mathematics
2 answers:
ella [17]3 years ago
8 0

Answer and Explanation :

We have simplify the expressions into one fraction :

1) Expression \frac{7}{x-3}+ \frac{3}{x-5}

Taking LCM in the denominator,

=\frac{7(x-5)+3(x-3)}{(x-3)(x-5)}

=\frac{7x-35+3x-9}{x^2-5x-3x+15}

=\frac{10x-44}{x^2-8x+15}

The required form is \frac{7}{x-3}+ \frac{3}{x-5}=\frac{10x-44}{x^2-8x+15}

2) Expression \frac{-5}{x-3}-(-4\cdot(x+2))

Taking LCM in the denominator,

\frac{-5}{x-3}+(4x+8)

=\frac{-5+(4x+8)(x-3))}{x-3}

=\frac{-5+4x^2-12x+8x-24}{x-3}

=\frac{4x^2-4x-29}{x-3}

The required form is \frac{-5}{x-3}-(-4\cdot(x+2))=\frac{4x^2-4x-29}{x-3}

3) Expression \frac{6}{x+7}- \frac{3}{x-2}

Taking LCM in the denominator,

=\frac{6(x-2)-3(x+7)}{(x+7)(x-2)}

=\frac{6x-12-3x-21}{x^2-2x+7x-14}

=\frac{3x-33}{x^2+6x-14}

The required form is \frac{6}{x+7}- \frac{3}{x-2}=\frac{3x-33}{x^2+6x-14}

artcher [175]3 years ago
3 0
1. 10x-44/x(squared)-8x+15
2. X+22/x(squared) -x-6
3.3x-33/x(squared)+5x-14
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