Factorisation and algebraic fractions

 $\left(a+2b\right)^2-\left(a^2-b^2\right)$  

•  $3b^2$  

•  $5b^2+4ab$  

•  $5b^2+2ab$  

•  $a^2+4b^2$  

Are there any common factors? What are they?

4x²(2w-3)-5(2w-3)

• 4x²

• 2w

• (2w-3)

• 4x² - 5

 $\frac{3}{p}+\frac{4}{1-p}$  

•  $\frac{3+4p}{1-p}$  

•  $\frac{3+p}{1-p}$  

•  $\frac{3+p}{p\left(1-p\right)}$  

•  $3+4p^2$  

Factorise

(a+3)(a+1)-4(a+1)

• (a+1)(a+3-4)

• (a+1)(a-1)

• (a-1)(a-1)

• a² - 1

Express  $\frac{p+2q}{2pq}-\frac{p+1}{p}$  as a single fraction in its simplest form

•  $\frac{1-2q}{2q}$  

•  $\frac{p-2pq}{2pq}$  

•  $\frac{p-2pq+4q}{2pq}$  

•  $\frac{p-2pq-4q}{2pq}$  

Simplify.

• A

• B

• C

• D

Factor by grouping:

4p³+8p²+3p+6

• (2p²+3)(p+2)

• (2p²+6)(p+4)

• (4p²+3)(p+2)

• (4p²+8p)(3p+6)

Factorise completely : 2x² - 50

• 2( x - 5 )²

• 2( x + 5 )( x - 5)

• (2x + 5)(2x - 5)

• (2x + 5)(x - 5)

Divide and Simplify

• A

• B

• C

• D

Multiply and Simplify

• 4(x+3)/(x+2),

• (x+2)/4(x+1)

• (x+2)/4(x+3),

• 4(x+1)/(x+2),