Expansion takes an expression from factored form and uses the distributive property to remove the brackets and write the expression as a sum of products. Such as $\left(a+2\right)\left(b+3\right)=ab+3a+2b+6$(a+2)(b+3)=ab+3a+2b+6.
The distributive property: $A\left(B+C\right)=AB+AC$A(B+C)=AB+AC
This can be used over more terms:
Or applied multiple times:
You can reduce this working to one line by remembering the first term multiplies each in the second bracket, then the second term multiplies each in the second bracket.
Hence, $\left(x+5\right)\left(x+2\right)=x^2+2x+5x+10$(x+5)(x+2)=x2+2x+5x+10. Which we could then simplify to $x^2+7x+10$x2+7x+10.
After expanding check if the expression can be simplified by collecting like-terms.
Expand and simplify the following:
Expand and simplify the following expression $\left(x+7\right)\left(x-7\right)-\left(x-3\right)^2$(x+7)(x−7)−(x−3)2
When multiplying more than two expressions reduce the problem to multiply two at a time.
Expand the following: