How do you simplify #(x - 5)(x + 2)#?

2 Answers
Bhavin B.
May 1, 2018

#x^2-3x-10#

Explanation:

Open the bracket and multiply the two factors and then add the similar values or variables:
#(x-5)(x+2)#
#x^2+2x+(-5)x+(-10)#
#x^2+2x-5x-10#
#x^2-3x-10#

Jim G.
May 1, 2018

#x^2-3x-10#

Explanation:

#"each term in the second factor is multiplied by each term"#
#"in the first factor"#

#rArr(color(red)(x-5))(x+2)#

#=color(red)(x)(x+2)color(red)(-5)(x+2)larrcolor(blue)"distribute"#

#=(color(red)(x)xx x)+(color(red)(x)xx2)+(color(red)(-5)xx x)+(color(red)(-5)xx2)#

#=x^2color(magenta)(+2x)color(magenta)(-5x)color(blue)(-10)larr"collect like terms"#

#=x^2-3x-10#

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