1.

Factorise (i) `x^(2)+9x+18` (ii) `6x^(2)+7x-3` `(iii) 2x^(2)-7x-15 (iv) 84-2r-2r^(2)`

Answer» (i) `x^(2)+9x+18=x^(2)+6x+3x+18` {by splitting middle term]
`=x(x+6)+3(x+6)=)x+3_(x+6)`
(ii) `6x^(2)+7x-3=6x^(2)+9x-2x-3` [by splitting middle term]
(iii) `2x^(2) -7x -15=2x^(2) -10x+3x-15` [by splitting middle term]
` =2x(x-5)+3(x-5)=(2x+3)(x-5)`
(iv) ` 84-2r-2r^(2)=-2(r^(2)+r-42)`
`=-(r^(2)+7r-6r-42)`
`=-2[r(r+7)-69r+7)]`
`=-2(r-6)(r+7)=2(6-r)(r+7)`


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