Add the fractions. If possible, simplify your answer. \frac{7}{a^{2}+6a+9

sagnuhh

sagnuhh

Answered question

2021-09-18

Add the fractions. If possible, simplify your answer.
7a2+6a+9+8a29=?

Answer & Explanation

yagombyeR

yagombyeR

Skilled2021-09-19Added 92 answers

Step 1
We have given to add fractions.
7a2+6a+9+8a29
=a2+6a+9=a2+23a+32=(a+3)2
=a29=(a3)(a+3)
=7a2+6a+9+8a29=7(a+3)2+8(a+3)(a3)
=7(a3)+8(a+3)(a+3)2(a3)
=7a21+8a+24(a+3)2(a3)
=15a+3(a+3)2(a3)
=3(5a+1)(a+3)2(a3)
=7a2+6a+9+8a2=9=3(5a+1)(a+3)2(a3)
Step 2
Hence on adding fractions we get result equal to
3(5a+1)(a+3)2(a3)

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