How do you simplify $(d+7)/(d^2-49)$ ?

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Answer 1 · 2015-09-28T05:20:54

$=color(blue)(1/(d-7))$

As per property
$color(blue)(a^2-b^2=(a+b)(a-b)$

Expressing the denominator of the expression in the same manner:
$d^2- 49= d^2 -7^2 = color(blue)((d+7)(d-7)$

The expression can now be written as

$((d+7)) / color(blue)((d+7)(d-7)$

$=(cancel((d+7))) / color(blue)((d-7)cancel((d+7))$

$=color(blue)(1/(d-7))$

How do you simplify (d+7)/(d^2-49)(d+7)/(d^2-49)?