Question

simplify: (a+4)/(a+2) - (a-1)/(a-2)

Answer 1

Answer:

Step-by-step explanation:

(a+4)(a+2)-(a-1)(a-2)

=(a^2+2a+4a+8)-(a^2-2a-a+2)

=(a^2+6a+8)-(a^2-a+2)

=a^2+6a+8-a^2+a-2

=7a-6

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Answer 2

Answer:

$\frac{(a-6)}{a^{2} -b^{2} }$

Step-by-step explanation:

⇒ $\frac{(a+4)}{(a+2)}$ $-\frac{(a-1)}{(a-2)}$

⇒ $\frac{(a+4)(a-2)}{a^{2}-b^{2} }$ $-\frac{(a-1)(a+2)}{a^{2}-b^{2} }$

⇒ $\frac{(a^{2}+2a-8) }{a^{2} -b^{2} }$ $-\frac{(a^{2}+a-2) }{a^{2} -b^{2} }$

⇒ $\frac{(a^{2}-a^{2}+2a-a-8+2) }{a^{2} -b^{2} }$

⇒ $\frac{(a-6)}{a^{2} -b^{2} }$

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