Simplify completely x^2+4x-5/5x^2-8x+3

Mathematics

1 answer:

arlik [135]3 years ago

5 0

Answer:

$\boxed{\bold{\frac{x+5}{5x-3}}}$

Explanation:

[ Step One ] Factor $\bold{x^2+4x-5}$

$\bold{x\left(x-1\right)+5\left(x-1\right)}$

[ Step Two ] Rewrite Equation

$\bold{\frac{\left(x-1\right)\left(x+5\right)}{5x^2-8x+3}}$

[ Step Three ] Factor $\bold{5x^2-8x+3}$

$\bold{\left(x-1\right)\left(x+5\right)}$

[ Step Four ] Rewrite Equation

$\bold{\frac{\left(x-1\right)\left(x+5\right)}{\left(5x-3\right)\left(x-1\right)}}$

[ Step Five ] Cancel Out Common Factor $\bold{x-1}$

$\bold{\frac{x+5}{5x-3}}$

$\boxed{\bold{Mordancy}}$

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