Expansion and factorisation

Question 1 of 10

Factorise ax + ay + bx + by.

Question 2 of 10

Expand (x + 6)(x − 3).

Question 3 of 10

Expand (x − 1)(x − 1).

Question 4 of 10

Factorise x² − 2x − 8.

Question 5 of 10

(a) Expand and simplify 2(x + 3) − (x − 6). (b) Factorise x² − 3x − 18. (c) Hence solve x² − 3x − 18 = 0.

Question 6 of 10

(a − b)(a + b) = a² − b².

Question 7 of 10

(a) Expand and simplify 4(x + 5) − (x − 3). (b) Factorise x² + 2x − 15. (c) Hence solve x² + 2x − 15 = 0.

Question 8 of 10

Factorising is the reverse of expanding.

Question 9 of 10

(a) Expand and simplify 3(x + 2) − (x − 6). (b) Factorise x² − 4x − 12. (c) Hence solve x² − 4x − 12 = 0.

Question 10 of 10

Expand (x + 3)(x + 2).