CBSE Class 9 Answered
FACTORISATION
Asked by rajat951 | 02 Mar, 2010, 06:50: PM
Expert Answer
The trick in such examples is to transform or identify the hidden quadratic equation, then find it's root.
The procedure is illustrated below.
1/ 5(3x + y)2 + 6(3x + y) - 8
Let (3x + y) = X
5X2 + 6X - 8
Roots of this quadratic equation are,
X =[-6±(36+160)]/10
The roots are, -2 and 4/5,
Hence,
(X+2)(X-4/5) =
(3x + y + 2)(3x + y - 4/5)
Hence, factorization of,
5(3x + y)2 + 6(3x + y) - 8 is,
(3x + y + 2)(3x + y - 4/5).
Similarly other two can be solved.
Regards,
Team,
TopperLearning.
Answered by | 02 Mar, 2010, 07:06: PM
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