What is ((x^2-25)(x^2+14x+49))/((x+7)(x-5)) ?

The solution to ((x^2-25)(x^2+14x+49))/((x+7)(x-5)) is (x+5)(x+7)

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simplify ((x^2-25)(x^2+14x+49))/((x+7)(x-5))

simplify

\frac{( x ^{2} - 25 ) ( x ^{2} + 14 x + 49 )}{( x + 7 ) ( x - 5 )}

(x + 5) (x + 7)

Solution steps

\frac{( x ^{2} - 25 ) ( x ^{2} + 14 x + 49 )}{( x + 7 ) ( x - 5 )}

Factor

x^{2} - 25 : (x + 5) (x - 5)

= \frac{( x + 5 ) ( x - 5 ) ( x ^{2} + 14 x + 49 )}{( x + 7 ) ( x - 5 )}

Cancel the common factor:

x - 5

= \frac{( x + 5 ) ( x ^{2} + 14 x + 49 )}{x + 7}

Factor

x^{2} + 14 x + 49 : (x + 7)^{2}

= \frac{( x + 5 ) ( x + 7 ) ^{2}}{x + 7}

Apply exponent rule:

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

(x + 7)^{2} = (x + 7) (x + 7)

= \frac{( x + 5 ) ( x + 7 ) ( x + 7 )}{x + 7}

Cancel the common factor:

x + 7

= (x + 5) (x + 7)

(5 - x)^{2}

lo g_{10} (50)

(x - \frac{1}{2})^{2}

\frac{2 x}{x ^{2}}

(x - 3) (x + 4)

What is ((x^2-25)(x^2+14x+49))/((x+7)(x-5)) ?
The solution to ((x^2-25)(x^2+14x+49))/((x+7)(x-5)) is (x+5)(x+7)