How do you simplify the product #(5x - 2)(x + 3)# and write it in standard form?

1 Answer
Mar 3, 2016

Answer:

#(5x-2)(x+3)=color(blue)(5x^2+13x-6)#

Explanation:

Use the FOIL method for multiplying binomials.

http://www.mesacc.edu/~scotz47781/mat120/notes/polynomials/foil_method/foil_method.html

#(5x-2)(x+3)=overbrace(5x*x)^"first"+overbrace(5x*3)^"outer"+overbrace(-2*x)^"inner"+overbrace(-2*3)^"last"#

Simplify..

#(5x-2)(x+3)=5x^2+15x-2x-6#

Combine like terms.

#(5x-2)(x+3)=5x^2+13x-6#