We want to simplify following expression.
5(3x+4y) - 6(2x+5y)
Recall that an algebraic expression is in simplest form if it has no like terms and no parentheses. Since the given expression contains like terms and parentheses, we can simplify it. To do this, let's multiply 5 by (3x+4y) and - 6 by (2x+5y) using the Distributive Property. Then we will group like terms using the Commutative Property of Addition.
Now we can combine like terms using the Distributive Property.
15 x+( - 12 x) + ( - 30 y)+ 20 y [0.3em] = [0.3em] [ 15+( - 12)] x + ( - 30+ 20) y
Finally, we will perform the addition and simplify the expression.
