All categories

3 years ago

Expand (x+2)(x2+x+1)

Mathematics

2 answers:

Alexandra [31]3 years ago

6 0

Answer:

x³ + 3x² + 3x + 2

Step-by-step explanation:

Given

(x + 2)(x² + x + 1)

Each term in the second factor is multiplied by each term in the first factor, that is

x(x² + x + 1) + 2(x² + x + 1) ← distribute both parenthesis

= x³ + x² + x + 2x² + 2x + 2 ← collect like terms

= x³ + 3x² + 3x + 2

svetoff [14.1K]3 years ago

4 0

Answer:

x³+3x²+3x+2

Step-by-step explanation:

You might be interested in

Select each expression that shows a correct method for finding 36% of 400.

kvv77 [185]

The answer is 136 136=36% of 400

6 0

3 years ago

Why is every prime number greater than 2 an odd number?

DanielleElmas [232]

Every prime greater than 2 is oddNo even number greater than 2 is prime

5 0

3 years ago

Factor the expression completely.

evablogger [386]

Answer:

Factoring the expression $xy^4+x^4y^4$ completely we get $\mathbf{xy^4(x+1)(x^2-x+1)}$

Step-by-step explanation:

We need to factor the expression $xy^4+x^4y^4$ completely

We need to find common terms in the expression.

Looking at the expression, we get $xy^4$ is common in both terms, so we can write:

$xy^4+x^4y^4\\=xy^4(1+x^3)$

So, taking out the common expression we get: $xy^4(1+x^3)$

Now, we can factor the term (1+x^3) or we can write (x^3+1) by using formula:

$a^3+b^3=(a+b)(a^2-ab+b^2)$

So, we get:

$xy^4(1+x^3)\\=xy^4(x^3+1)\\Applying\:the\:formula\;of\:a^3+b^3\\=xy^4(x+1)(x^2-x+1)$

Therefor factoring the expression $xy^4+x^4y^4$ completely we get $\mathbf{xy^4(x+1)(x^2-x+1)}$

6 0

3 years ago

Please help please

jarptica [38.1K]

Answer:

1.) supplementary m<1+m<2=180 and m<2+m<3=180

2.) congruent, supplementary

Step-by-step explanation:

the answers are in this order above

5 0

3 years ago

Make x the subject of the formula x − 3 = q

lakkis [162]

Answer:

x = q + 3

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Step-by-step explanation:

Step 1: Define Equation

x - 3 = q

Step 2: Solve for x

Add 3 to both sides: x = q + 3

8 0

2 years ago

Expand (x+2)(x2+x+1)​

Expand (x+2)(x2+x+1)