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4.(a) 8a^50.
(b) -3/5 x^3y^3.
(c) 15-2x^2-6x+5x=-(2x^2+x-15).
(d)x^2-(7y)^2=x^2-49y^2.
5.(a) (8/5)^2=64/25.
(b) (9-8)÷16=1/16.
(c) 1/8×125×16=125×2=250.
(d)1/5×1/2×1/6=1/60.
6. (1)
(a)12x,36. Common factor = 12.
(b) Common factor= 14pq.
(c) (i)x^2+xy+8x+8y=x(x+y)+8(x+y) =(x+y) (x+8).
(ii)ax+hx-ay-by=x(a+h)-y(a+b).
(iii) x^2+5x+6x=x^2+3x+2x+6=x(x+3)+ 2(x+3) = (x+3)(x+2).
(iv)4p^2-9q^2 = (2p)^2-(3q)^2 = (2p+3q)(2p-3q)
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