What is (9x^2-49)/(9x^2-42x+49) ?

The solution to (9x^2-49)/(9x^2-42x+49) is (3x+7)/(3x-7)

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simplify (9x^2-49)/(9x^2-42x+49)

simplify

\frac{9 x ^{2} - 49}{9 x ^{2} - 42 x + 49}

\frac{3 x + 7}{3 x - 7}

Solution steps

\frac{9 x ^{2} - 49}{9 x ^{2} - 42 x + 49}

Factor

9 x^{2} - 49 : (3 x + 7) (3 x - 7)

= \frac{( 3 x + 7 ) ( 3 x - 7 )}{9 x ^{2} - 42 x + 49}

Factor

9 x^{2} - 42 x + 49 : (3 x - 7)^{2}

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

Apply exponent rule:

a^{b + c} = a^{b} \cdot a^{c}

(3 x - 7)^{2} = (3 x - 7) (3 x - 7)

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

Cancel the common factor:

3 x - 7

= \frac{3 x + 7}{3 x - 7}

(x^{2} + 5)^{10}

\frac{1}{2} \div 7

- x^{2} + 10 x - 24

+ x^{3} + x^{2} - 36

+ \frac{- 2 + 3 i}{4 + 2 i}

What is (9x^2-49)/(9x^2-42x+49) ?
The solution to (9x^2-49)/(9x^2-42x+49) is (3x+7)/(3x-7)