Expanding Double Brackets

Expanding Double Brackets

Learning Objectives:

Able to expand a single term over a bracket.

Able to collect like terms

Able to multiply algebraic terms

Able to expand two brackets

Multiple Choice

Starter:

 $2a\ \times3a=$  

•  $5a^2$  

•  $6a^2$  

•  $5a$  

•  $6a$  

Multiple Choice

Starter: 


 $4a\times5b=$  

•  $9ab$  

•  $20\times a\times b$  

•  $20ab$  

•  $20ba$  

Multiple Choice

Starter: 

 $3\left(3a\ +\ 5\right)=$  

•  $6a+15$  

•  $9a+5$  

•  $9a+15$  

•  $9a-15$  

Multiple Choice

Starter:

 $5x\left(\ x\ -\ 1\right)=$  

•  $5x^2-1$  

•  $5x^2-5$  

•  $5x-5$  

•  $5x^2+5$  

Multiple Choice

Starter:


 $-2a\left(\ 5a-3\right)=$  

•  $-10a^2+6a$  

•  $-10a^2-6a$  

•  $-10a^2+6$  

•  $-10a^2+5a$  

Example:

 $\left(x+4\right)\left(x+9\right)$  

Multiple Choice

Practice Question:

 $\left(a+1\right)\left(a+3\right)=$  

•  $a^2+4a+3$  

•  $a^2+3a+a+3$  

•  $a^2+a+4a+1$  

•  $a^2+3a+3$  

Multiple Choice

Practice Question:

 $\left(x+4\right)\left(x+3\right)=$  

•  $x^2+7x+7$  

•  $x^2+4x+12$  

•  $x^2+7x+12$  

•  $x^2+3x+4x+12$  

Multiple Choice

Practice Question:

 $\left(x+9\right)\left(x+3\right)=$  

•  $x^2+3x+9x+27$  

•  $x^2+12x+21$  

•  $x^2+9x+27$  

•  $x^2+12x+27$  

Multiple Choice

Practice Question:

 $\left(x+6\right)\left(x+2\right)=$  

•  $x^2+6x+12$  

•  $x^2+8x+12$  

•  $x^2+6x+2x+12$  

•  $x^2+8x+8$  

Multiple Choice

Practice Question:

 $\left(a+1\right)\left(a+14\right)=$  

•  $a^2+15a+14$  

•  $a^2+14a+a+14$  

•  $a^2+15a+15$  

•  $a^2+14a+14$  

Example:

 $\left(2x+1\right)\left(x+3\right)=$  

Multiple Choice

Practice Questions:

 $\left(2x+1\right)\left(x+1\right)=$  

•  $2x^2+2x+x+1$  

•  $2x^2+3x+1$  

•  $2x^2+2x+2$  

•  $2x^2+3x+2$  

Multiple Choice

Practice Question:

 $\left(3x+2\right)\left(x+1\right)=$  

•  $3x^2+3x+2x+2$  

•  $3x^2+4x+1$  

•  $3x^2+5x+1$  

•  $3x^2+5x+2$  

Multiple Choice

Practice Question:

 $\left(a+3\right)\left(2a+4\right)=$  

•  $2a^2+9a+7$  

•  $2a^2+4a+6a+12$  

•  $2a^2+10a+12$  

•  $2a^2+10a+7$  

Multiple Choice

Practice Question:

 $\left(2x+1\right)\left(3x+2\right)=$  

•  $6x^2+7x+2$  

•  $6x^2+4x+3x+2$  

•  $6x^2+5x+2$  

•  $5x^2+7x+2$  

Example:

 $\left(x+2\right)\left(x-1\right)=$