 5.6 Exercises - Algebra and Mathematical Laws
1. Apply the distributive law in the exercises below:
 a) b(x + y) = b) 2a(-b - 3c) = c) -3c(2d - 5e) = d) (-7u + 4v)(-2x) = 2. Take out the largest common factor (LCF). Factorise!
 3ab + 6ac a) LCF b) Write the factorised expression. c) Take out the LCF. 3. Take out the largest common factor (LCF). Factorise!
 8sty - 12pty a) LCF b) Write the factorised expression. c) Take out the LCF. 4. Take out the largest common factor (LCF). Factorise!
 15ahy + 20bhy - 25chy a) LCF b) Write the factorised expression. c) Take out the LCF. 5. Write the following power as a product.
 a) (5 + a)2 = b) (x - 7)2 = c) (2c - 3)2 = d) (3a + 4b)2 = 6. Complete the expression so that the left side becomes equal to the right side.
 a) (a + c)2 = a2 + + c2 b) (6 + 2v)2 = + 24v + 4v2 c) (5p - 3u)2 = 25p2 - + 9u2 d) (h - 7z)2 = h2 - 14hz + 7. Complete the following expression by using the conjugate rule.
 a) (a + c)(a - c) = a2 c2 b) (3 - x)(3 + x) = - x2 c) (2n + 5)(2n - 5) = - 25 d) (7y - 4q)(7y + 4q) = 49y2 - 