How do you simplify #(8x+3)(2x+4)#?

1 Answer
Jun 25, 2017

#16x^2+38+12#

Explanation:

#(8x+3)(2x+4)#

Concept
Distributive Property: #(a+b)(c+d)=(a+b)(c)+(a+b)(d)=a(c)+b(c)+a(d)+b(d)#

Application
#(8x+3)(2x+4)=(8x+3)(2x)+(8x+3)(4)=8x(2x)+3(2x)+8x(4)+3(4)#

Now simplify
#16x^2+6x+32x+12#
#16x^2+38+12#

Source
Symbolab Step-by-Step