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Sagot :

Answer:

Step-by-step explanation:

x^3+7x^2+5x^2+35x

= x^3+12x^2+35x

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

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Hope I Helped, Feel Free to ask any questions to clarify :)

Have a fabulous day!

          -Aadi x

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