9x2_9(a+b)x+(2a2+5ab+2b2)=0
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9x²-9(a+b)x+(2a²+5ab+2b²)
first we will take
(2a²+5ab+2b²)and factorize it
⇒2a²+4ab+ab+2b²
⇒2a(a+2b)+b(a+2b)
⇒(2a+b)(a+2b)
now,9x²-9(a+b)x+(2a+b)(a+2b)=0
9x²-3(2a+b)x-3(a+2b)x+(2a+b)(a+2b)=0
3x(3x-(2a+b))-(a+2b)(x-(2a+b))=0
(3x-(a+2b))(3x-(a+2b))=0
∴x=(a+2b)/3 and x=(2a+b)/3
Hope it helps. Plz mark me as brainliest.
first we will take
(2a²+5ab+2b²)and factorize it
⇒2a²+4ab+ab+2b²
⇒2a(a+2b)+b(a+2b)
⇒(2a+b)(a+2b)
now,9x²-9(a+b)x+(2a+b)(a+2b)=0
9x²-3(2a+b)x-3(a+2b)x+(2a+b)(a+2b)=0
3x(3x-(2a+b))-(a+2b)(x-(2a+b))=0
(3x-(a+2b))(3x-(a+2b))=0
∴x=(a+2b)/3 and x=(2a+b)/3
Hope it helps. Plz mark me as brainliest.
mssonu:
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why asking
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yes
from last third line u have forget to write 3 in (a+2b)(x-(2a+b))
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