1.

Factorise: z2 +12z +27

Answer»

First find the two numbers whose sum =12 and product = 27

Clearly, the numbers are 9 and 3

∴ we get, z2 +12z + 27 

= z+ 9z + 3z + 27

= z (z+9) + 3(z+9)

= (z+3) (z+9)



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