What is (y^2-49)/(y^2-14y+49) ?

The solution to (y^2-49)/(y^2-14y+49) is (y+7)/(y-7)

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simplify (y^2-49)/(y^2-14y+49)

simplify

\frac{y ^{2} - 49}{y ^{2} - 14 y + 49}

\frac{y + 7}{y - 7}

Solution steps

\frac{y ^{2} - 49}{y ^{2} - 14 y + 49}

Factor

y^{2} - 49 : (y + 7) (y - 7)

= \frac{( y + 7 ) ( y - 7 )}{y ^{2} - 14 y + 49}

Factor

y^{2} - 14 y + 49 : (y - 7)^{2}

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

Apply exponent rule:

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

(y - 7)^{2} = (y - 7) (y - 7)

= \frac{( y + 7 ) ( y - 7 )}{( y - 7 ) ( y - 7 )}

Cancel the common factor:

y - 7

= \frac{y + 7}{y - 7}

93 \cdot 521

b \cdot b^{3}

b \cdot b^{2}

4 [x (2 - 5) - 2 (1 - 2 x)]

- 1212 - 23

What is (y^2-49)/(y^2-14y+49) ?
The solution to (y^2-49)/(y^2-14y+49) is (y+7)/(y-7)