How do you simplify 2(sqrt(5x) - 3)^2?
1 Answer
Apr 16, 2017
Explanation:
We can rewrite the expression to specifically show all the terms:
Let's set aside the leading 2 for a minute and work with the two bracketed terms. We'll use FOIL to handle it:
FOIL
color(red)(F) - First terms -(color(red)(a)+b)(color(red)(c)+d) color(brown)(O) - Outside terms -(color(brown)(a)+b)(c+color(brown)d) color(blue)(I) - Inside terms -(a+color(blue)b)(color(blue)(c)+d) color(green)(L) - Last terms -(a+color(green)b)(c+color(green)d)
This gives us:
color(red)(F)=>sqrt(5x)sqrt(5x)=5x color(brown)(O)=>sqrt(5x)(-3)=-3sqrt(5x) color(blue)(I)=>(-3)(sqrt(5x))=-3sqrt(5x) color(green)(L)=>(-3)(-3)=9
And so
We can now distribute the 2 through the bracket:
