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

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Answer 1 · 2016-08-13T21:20:42

#(x-5)(x+2)=color(blue)(x^2-3x-10)#

Use the FOIL method. Multiply the terms in the two binomials according to the diagram below.

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#(x-5)(x+2)=(x*x)+(x*2)+(-5*x)+(-5*2)#

Simplify.

#(x-5)(x+2)=x^2+2x-5x-10#

Simplify.

#(x-5)(x+2)=x^2-3x-10#