Factorisation — Flashcards

Answer

Step 1: Find the H.C.F. of 6a^2 and -3ax. It is 3a. Step 2: Divide each term by 3a. 6a^2 ÷ 3a = 2a -3ax ÷ 3a = -x Step 3: Write the expression in brackets. 6a^2 - 3ax = 3a(2a - x) Answer: 3a(2a - x)…

Answer

Step 1: Find the H.C.F. of both terms. H.C.F. = 4ab Step 2: Divide each term by 4ab. 8ab^2 ÷ 4ab = 2b 12a^2b ÷ 4ab = 3a Step 3: Write the factorised form. 8ab^2 + 12a^2b = 4ab(2b + 3a) Answer: 4ab(2b …

Answer

Step 1: Notice that (x + y) is common. Step 2: Take (x + y) outside the bracket. 4(x + y)^2 - 3(x + y) = (x + y)[4(x + y) - 3] Step 3: Simplify the bracket. = (x + y)(4x + 4y - 3) Answer: (x + y)(4x +…

Answer

Step 1: Rewrite 5 - a as -(a - 5). So, y(5 - a) = -y(a - 5) Step 2: Now the expression becomes x(a - 5) - y(a - 5) Step 3: Take (a - 5) common. = (a - 5)(x - y) Answer: (a - 5)(x - y)…

Answer

Step 1: Group the terms. (ab + bc) + (ax + cx) Step 2: Take common factors from each group. b(a + c) + x(a + c) Step 3: Take the common bracket. = (a + c)(b + x) Answer: (a + c)(b + x)…

Answer

Step 1: Expand the middle term. ab^2 - (a - 1)b - 1 = ab^2 - ab + b - 1 Step 2: Group the terms. (ab^2 - ab) + (b - 1) Step 3: Take common factors. ab(b - 1) + 1(b - 1) Step 4: Take the common bracket…

Answer

Step 1: Split 5 into 3 and 2 because 3 + 2 = 5 and 3 × 2 = 6. Step 2: Rewrite the middle term. x^2 + 3x + 2x + 6 Step 3: Group the terms. x(x + 3) + 2(x + 3) Step 4: Take the common bracket. = (x + 3)…

Answer

Step 1: Split -5 into -3 and -2 because -3 + -2 = -5 and (-3)(-2) = 6. Step 2: Rewrite the middle term. x^2 - 3x - 2x + 6 Step 3: Group the terms. x(x - 3) - 2(x - 3) Step 4: Take the common bracket.