How do you multiply #3.1(-1.2x+3.2y-1.1) #?

1 Answer
Jun 24, 2018

Distribute and simplify to get the answer: #-3.72 x + 9.92 y - 3.41#.

Explanation:

The distributive property in mathematics is a special property that helps us expand expressions like #3.1(-1.2x+3.2y-1.1)#.

If we are given an expression in the form #a(x+y)#, where a term multiplies a bracketed expression, then we can expand by multiplying each term in the bracket with the term outside:

#a(x+y) = ax + ay#

#a(x+y+z) = ax + ay + az#

#3.1(-1.2x+3.2y-1.1)#

#= (3.1)(-1.2x)+(3.1)(3.2y)+(3.1)(-1.1)#

#= -3.72 x + 9.92 y - 3.41#