Algebra - Expanding & Factorising

Like Terms

100

Simplify the following 3x + 5 - 2x

x + 5

200

Simplify 6b - 7a + 8b

14b - 7a

300

Simplify 6ab + 5b + 7ab + 2

13ab + 5b + 2

400

Simplify 2xy + 3x + 10xy - 2x

12xy + x

500

Simplify 3x² + 6xy - 3x² - xy

5xy

Expanding

100

Expand 3(x+ 2)

3x + 6

200

Expand 2x(x + 5)

2x² + 10x

300

Expand -6(4x + 5)

-24x - 30

400

Expand m³(4m + 6)

4m⁴ + 6m³

500

Expand 5x(2x³ + x - 4)

10x⁴ + 5x² - 20x

Factorising

100

Factorise 3x + 9

3(x + 3)

200

Factorise 12xy - 36x

12x(y - 3)

300

Factorise 8x + 24xy

8x(1 + 3y)

400

Factorise 8m² + 10mn

2m(4m + 5n)

500

Factorise 5xy + 10y + 15y²

5y(x + 2 + 3y)