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Allisa [31]
3 years ago
7

PLEASE HELP Let f(x)=5x^2−9x+4/5x^2−x−4 and g(x)=x^2−3x−10/5x^2+6x−8. Find and simplify: f(x)⋅g(x) f(x)⋅g(x)=______

Mathematics
1 answer:
r-ruslan [8.4K]3 years ago
7 0

Answer:

\frac{x-5}{5x+4}

Step-by-step explanation:

Given

\frac{5x^2-9x+4}{5x^2-x-4} × \frac{x^2-3x-10}{5x^2+6x-8}

Factorise numerator/ denominator of both fractions

= \frac{(5x-4)(x-1)}{(5x+4)(x-1)} × \frac{(x-5)(x+2)}{(5x-4)(x+2)}

Cancel common factors on numerator/ denominator of both fractions

= \frac{5x-4}{5x+4} × \frac{x-5}{5x-4}

Cancel the common factor 5x - 4 on numerator/ denominator, leaving

= \frac{x-5}{5x+4}

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