Answer:
x³ + 12x² + 35x
Step-by-step explanation:
"What is (x² + 5x) multiplied by (x + 7)?
First, we can convert this into an algebraic expression!
This can be written as:
(x² + 5x)(x + 7)
We can use the FOIL Method for multiplying binomials.
FOIL: First, Outer, Inner, Last
"A technique for distributing two binomials. The letters FOIL stand for First, Outer, Inner, Last. First means multiply the terms which occur first in each binomial. Then Outer means multiply the outermost terms in the product. Inner means multiply the innermost terms in the product, Last means multiply the terms which occur last in each binomial."
FOIL: First: x² × x
x² × x = x³
FOIL: Outer: x² × 7
x² × 7 = 7x²
FOIL: Inner: 5x × x
5x × x = 5x²
FOIL: Last: 5x × 7
5x × 7 = 35x
Add Everything Together!
x³ + 7x² + 5x² + 35x
Simplify:
x³ + 12x² + 35x
==================================================================
Hope I Helped, Feel Free to ask any questions to clarify :)
Have a fabulous day!
-Aadi x
