FACTORISATION
(a) xy + xz = x(y + z)
(b) x2 – y2 = (x – y)(x + y)
(c) xy + xz + ay + az
= x (y + z) + a (y + z)
= (y + z)(x + a)
(d) x2 + 4x + 3
= (x + 3)(x + 1)
ALGEBRAIC FRACTION
Express 1/2k - 10-k/6k² as a fraction in its simplest form.
Solution:
1/2k - 10-k/6k² = 1 x 3k - (10-k)/6k²
3k-10+k/6k² = 4k-10/6k²
2(k-5)/6k² = k-5/3k²
LINEAR EQUATION
Given that 1/5(3n + 2) = n – 2, calculate the value of n.
Solution:
1/5(3n + 2) = n – 2
5 ×1/5(3n + 2) = 5(n – 2)
3n + 2 = 5n – 10
2 + 10 = 5n – 3n
2n = 12
n = 6
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