Fsc Part 1 Mathematics (Complete Solution)

Q15
Factorize the following

(i) a2+4b2

SOLUTION:

 a2+4b2=a2-(-1)4b2

=a2-4b2ι2

=(a)2-(2bι)2

=(a+2bι)(a-2bι)

(ii). 9a2+16b2

SOLUTION:

=9a2+16b2

=9a2-(-1)16b2

=9a2-16b2ι2

=(3a)2-(4bι)2

=(3a+4bι)(3a-4bι)

(iii) 3x2+3y2

SOLUTION:

=3(x2+y2)

=3[x2-(-1)y2]

=3[x2-y2ι2]

=3[(x)2-(yι)2]

=3[(x+yι)(x-yι)]

=3(x+yι)(x-yι)

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