Factorise: ii) 1 – 2y + y^2
iii) x^2+ 12x – 45
iv) a^2+ 3a – 88
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Step-by-step explanation:
Factorise: ii) 1 – 2y + y^2
= (1)^2-2(1)(y)+(y)^2
= (1-y)^2
so, 1 – 2y + y^2= (1-Y)^ 2
iii) x^2+ 12x – 45
= x^2+ 15x-3x – 45
=X(X+15)-3(x-15)
=(x-3) (x-15)
so, x^2+ 12x – 45=(x-3)(x-15)
iv) a^2+ 3a – 88
a^2+ 11a – 8a-88
= a(a+11)-8(a+11)
= (a-8) (a+11)
so, a^2+ 3a – 88= (a-8) (a+11)
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