Answer:
x³ + 12x² + 35x
Step-by-step explanation:
<u><em>"What is (x² + 5x) multiplied by (x + 7)?</em></u>
First, we can <em>convert</em> this into an <u>algebraic expression</u>!
This can be written as:
(x² + 5x)(x + 7)
We can use the <u>FOIL Method</u> for <u>multiplying binomials</u>.
<u><em>FOIL: First, Outer, Inner, Last
</em></u>
<u><em>"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."</em></u>
<em>FOIL: First: x² × x</em>
x² × x = x³
<em>FOIL: Outer: x² × 7</em>
x² × 7 = 7x²
<em>FOIL: Inner: 5x × x </em>
5x × x = 5x²
<em>FOIL: Last: 5x × 7</em>
5x × 7 = 35x
<em>Add </em>Everything Together!
x³ + 7x² + 5x² + 35x
<em>Simplify:</em>
x³ + 12x² + 35x
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<em>Hope I Helped, Feel Free to ask any questions to clarify :)</em>
<em>Have a fabulous day!</em>
<em> -Aadi x</em>