Expansion and Factorisation of Algebraic Expressions

Factorise x²+4x

• x(x+4)
• 4x(x+1)

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factorise 3x²+12x

• 3x(x+4)
• 3(x²+4)

Factorise these
4b⁵+4b³+16b²

• 4b²(b⁴-b²-4^b)
• 4b²(b⁴+4b+5)
• 4b²(b⁵+b³+4b²)
• 4b²(b³+b+4)

Expand  $(2x+5y)(3x-y)$  . 

•  $6x^2-13xy-5y^2$  

•  $6x^2+13xy-5y^2$  

•  $6x^2+17xy-5y^2$  

•  $6x+17xy-5y^2$  

Expand  $2(2x+1)(3x+2)$  . 

•  $12x^2+14x+4$  

•  $24x^2+28x+8$  

•  $12x^2+2x+4$  

•  $12x^2-2x+4$   

Choose the correct answer:

The factorisation of 15x²y - 5xy is

• 5xy (3x - 1)

• 5xy (3x + 1)

• 5xy (3x + 3)

• 5xy (x - y)

Expand and simplify 3(2z + 1) - 2(5 + z).

• 4z - 7

• 7z - 7

• 8z - 7

• 4z + 13

Tags

CCSS.7.EE.A.1

Subtract (-x - 2) - (4x + 3)

• 3x - 1

• -5x - 5

• -5x - 2

• 3x - 2

Tags

CCSS.6.EE.A.2

CCSS.6.EE.A.3

CCSS.6.EE.A.4

CCSS.6.EE.B.6

 $p^2+\left(3p+q\right)\left(3p-q\right)$  

•  $10p^2-q^2$  

•  $10p^2+q^2$  

•  $9p^2-q^2$  

•  $9p^2+6pq-q^2$  

Expand  $\left(2x-3\right)\left(x+5\right)$  .

•  $9x+15$  

•  $9x-15$  

• 
  

   $2x^2-7x+15$  

•  $2x^2+7x-15$