Grade C Factorise single bracket Take out common

Grade C Factorise single bracket Take out common factors to factorise If you have any questions regarding these resources or come across any errors, please contact helpful-report@pixl. org. uk

Key Vocabulary Factorise Bracket Common factor Highest common factor Terms Expression

How to factorise to a single bracket ‘Multiply brackets’ means to ‘expand’, or remove brackets To factorise we reverse this process and put in a bracket. We can double check by multiplying out the bracket 4 a + 24 = 4(a + 6) = 4 a + 24

How to factorise to a single bracket To ‘fully’ factorise we find the highest common factor(s) in all the terms and take this outside the bracket. Then work out what goes in the bracket using division or multiplication. 6 b - 10 bc =2 b( 3 - 5 c ) 2 b(3 - 5 c) = 6 b - 10 bc

Factorise - now you try. . . 1) 3 x + 15 = 2) 5 de - 2 35 d 3) 2 xy 3 y 4) 2 3 ab+12 b– 6 b - = = =

Factorise - now you try. . . 1) 3 x + 15 = 3(x + 5) 2) 2 35 d 5 de - 3) xy 2 4) - 3 y = = 5 d(e – 7 d) 2 y (x 2 3 ab+12 b– 6 b – y) = 3 b(a + 4 – 2 b)

Problem Solving and Reasoning Fully factorise - Spot the mistakes 1) 3 q + 6 = 3(q + 6) 2) 9 p + 36 = 9(9 p + 4) 3) 6 y - 30 = 3(2 y - 10) 4) 8 w - 24 = 8(w + 24) 5) 2 c² - 4 c + 8 c 3 = 2(c – 2 - 4 c 2)

Problem Solving and Reasoning Fully factorise - Spot the mistakes 1) 3 q + 6 = 3(q + 6) 2) 9 p + 36 = 9(9 p + 4) 3) 6 y - 30 = 3(2 y - 10) 4) 8 w - 24 = 8(w + 24) 5) 2 c² - 4 c + 8 c 3 = 2(c – 2 - 4 c 2)

Problem Solving and Reasoning x+ 7 ? Area =3 x 2 + 21 x Find the missing side of the rectangle.

Problem Solving and Reasoning x+ 7 ? 3 x Area =3 x 2 + 21 x Find the missing side of the rectangle.

Problem Solving and Reasoning Factorise the following: 1)x(x – 3) + 4 x 2)5(a + 3) + 5(4 – 2 a) 3)f(f - g) + g(f –g) Extension: use what you know about factorising to simplify: 0. 72 × 73. 2 + 7. 32 × 2. 8

Problem Solving and Reasoning Factorise the following: 1)x(x – 3) + 4 x = x(x - 3 + 4) = x(x + 1) 2)5(a + 3) + 5(4 – 2 a) = 5(a + 3 + 4 – 2 a) = 5(7 - a) 3)f(f - g) + g(f –g) = (f - g)(f + g) Extension: use what you know about factorising to simplify: 0. 72 × 73. 2 + 7. 32 × 2. 8 = 0. 72 x 73. 2 + 73. 2 x 0. 28 = 73. 2(0. 72 + 0. 28) = 73. 2