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Verified answer
No. 4no. 5
Verified answer
4)(x^2 + 2x + 1)/x : (x^2 - x - 2)/x
= [((x + 1)(x + 1))/x] × [x/(x - 2)(x + 1)]
= [(x + 1)(x + 1)] / [(x - 2)(x + 1)]
= (x + 1)/(x - 2)
5)
(2a + 2)/a : (a + a^2)/4
= [(2a + 2)/a] × [4/(a + a^2)]
= [4 × (2a + 2)]/[a(a + a^2)]
= (8a + 8)/(a^2 + a^3)
= [8(a + 1)]/[a^2(1 + a)]
= 8/a^2
6]
[(12x + 144)/(5x - 15)] : (x + 12)
= [(12x + 144)/(5x - 15)] × [1/(x + 12)]
= (12x + 144)/[(5x - 15)(x + 12)]
= [12(x + 12)]/[(5x - 15)(x + 12)]
= 12/(5x - 15)