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Q.1 Simplify combining like terms : (i) 21b-32+7b-20b (ii) -z2+13z2-5z+7z​3-15z (iii) p-(p-q)-q-(q-p) (iv) 3a-2b-ab-(a-b+ab) +3ab+b-a

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Solution

Dear Student,

1. (i) 21b- 32 + 7b - 20b = 21b + 7b - 20b - 32 = 8b - 32(ii) -z2 + 13z2 - 5z + 7z - 15z = 12z2 + 7z3 - 5z - 15z = 12z2 + 7z3 - 20z(iii) p - (p - q) - q - (q - p) = p - p + q - q - q + p = p - p + p + q - q - q = p - q(iv) 3a - 2b - ab -z (a - b + ab) + 3ab + b - a = 3a - 2b - ab - a + b - ab + 3ab + b - a = 3a - a - a - 2b + b + b - ab - ab + 3ab = a + ab

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