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3 years ago

Multiplying polynomials: simplify (4a+2)(6a^2-a+2)

Mathematics

1 answer:

arlik [135]3 years ago

5 0

Answer:

24a³ - 16a² + 6a + 4

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Distributive Property

Algebra I

Terms/Coefficients
Expanding by FOIL (First Outside Inside Last)

Step-by-step explanation:

Step 1: Define

(4a + 2)(6a² - a + 2)

Step 2: Expand

Expand: 24a³ - 4a² + 8a - 12a² - 2a + 4
Combine like terms (a²): 24a³ - 16a² + 8a - 2a + 4
Combine like terms (a): 24a³ - 16a² + 6a + 4

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Subtraction:

Subtraction means we have to find the difference of the numbers.

Given,

A family of five recently replaced its 5-gallon-per-minute showerheads with water-saving 2-gallon per minute showerheads.

Each member of the family averages 8 minutes in the shower per day.

Here we need to find the entire family savings per day.

According to the question,

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