Question

a²b²+8ab-9 please solve this problem

Answer 1

Answer:

(ab + 9) • (ab - 1)

Step-by-step explanation:

Step 1 :

Trying to factor a multi variable polynomial :

1.1 Factoring a2b2 + 8ab - 9

Try to factor this multi-variable trinomial using trial and error

Found a factorization : (ab + 9)•(ab - 1)

Final result :

(ab + 9) • (ab - 1)

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Answer 2

$a^{2}b^{2} + 8ab - 9$

$= (ab)^{2} + 2\times ab \times 4 + 16 - 16 - 9$

$=[ (ab)^{2} + 2\times ab \times 4 + 4^{2}] - 25$

$= (ab+4)^{2} - 5^{2} \\= [(ab+4)+5][(ab+4)-5]\\= (ab+4+5)(ab+4-5)\\= (ab+9)(ab-1)$

Therefore.,

$\red {a^{2}b^{2} + 8ab - 9 }\green {=(ab+9)(ab-1) }$

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