Question

factorise the following

1) 9 - 18x +8x^2​

Answer 1

hi frnd

We can Split the Middle Term of this expression to factorise it

In this technique, if we have to factorise an expression like ax2+bx+c, we need to think of 2 numbers such that:

N1⋅N2=a⋅c=8⋅9=72

AND

N1+N2=b=18

After trying out a few numbers we get N1=12and N2=6

12⋅6=72, and 12+6=18

8x2+18x+9=8x2+12x+6x+9

=4x(2x+3)+3(2x+3)

2x+3 is a common factor to each of the terms

=(2x+3)(4x+3)

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