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skelet666 [1.2K]
4 years ago
7

X^2 - 10x + 21 / x^2 -6x -7

Mathematics
2 answers:
fgiga [73]4 years ago
8 0

Answer:

\frac{x-3}{x+1}

Step-by-step explanation:

Given

\frac{x^2-10x+21}{x^2-6x-7} ← factorise numerator/ denominator

x² - 10x + 21 = (x - 7)(x - 3)

x² - 6x - 7 = (x - 7)(x + 1)

The expression can be written as

= \frac{(x-7)(x-3)}{(x-7)(x+1)} ← cancel the common factor (x - 7) on numerator/denominator

= \frac{x-3}{x+1}

svp [43]4 years ago
8 0

Answer:

\frac{x-3}{x+1} }

Step-by-step explanation:

if you factor both of the functions you will get

<u />\frac{(x-3)(x-7)}{(x-7)(x+1)}<u />

the two (x-7) will cancel out and you will b left with

<u />\frac{\\(x-3)}{(x+1)}<u />

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