Factorise each of the following expression
1. y²-3y-18
2. 6x²+29x +20
3.4x²-17x+4
4.4x²+12xy+9y²
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1. y²-3y-18
= y²-6y+3y-18
= y(y-6)+3(y-6)
= (y-6)(y+3)
2. 6x²+29x+20
= 6x²+24x+5x+20
= 6x(x+4)+5(x+4)
= (x+4)(6x+5)
3. 4x²-17x+4
= 4x²-16x-x+4
= 4x(x-4)-1(x-4)
= (x-4)(4x-1)
4. 4x²+12xy+9y²
= (2x)²+ 2×2x×3y +(3y)²
= (2x+3y)²
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