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allsm [11]
3 years ago
7

Part A: Factor 3x2c2 + 5xc2 − 2c2. Show your work. (4 points) Part B: Factor x2 + 6x + 9. Show your work. (3 points) Part C: Fac

tor x2 − 9. Show your work. (3 points) (10 points)
Mathematics
2 answers:
Margarita [4]3 years ago
6 0

Answer:

\boxed{\mathrm{view \: explanation}}

Step-by-step explanation:

A) 3x²c² + 5xc² - 2c²

Factor c² from all terms in the expression.

c²(3x² + 5x - 2)

Factor 3x² + 5x - 2

c²(3x-1)(x+2)

B) x² + 6x + 9

x² + 3x + 3x + 9

Factor common terms.

x(x+3)+3(x+3)

Take x+3 common.

(x+3)(x+3)

C) x² - 9

x² -3²

Apply formula : a² - b² = (a+b)(a-b)

(x+3)(x-3)

natita [175]3 years ago
4 0

Answer:

A) c^2(3x-1)(x+2)

B) (x+3)(x+3)

C) (x+3)(x-3)

Step-by-step explanation:

<u><em>Part A:</em></u>

3x^2c^2+5xc^2-2c^2

Taking c^2 common

c^2(3x^2+5x-2)

Using mid term break formula

c^2 (3x^2+6x-x-2)

c^2[3x(x+2)-1(x+2)]

c^2(3x-1)(x+2)

<u><em>Part B:</em></u>

x^2 + 6x + 9.

(x)^2+2(x)(3)+(3)^2

(x+3)^2

(x+3)(x+3)

<u><em>Part C:</em></u>

x^2-9

(x)^2-(3)^2

(x+3)(x-3)

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Step-by-step explanation:

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What is 1/4 as a whole number?
wlad13 [49]

The whole number of \dfrac{1}{4} is \boxed{0.25}.

Further explanation:

Always use the PEDMAS rule to solve the grouping of multiplication, addition, subtraction and division.

Here, P is parenthesis, E is exponents, M is multiplication, D is division, A is addition and S is subtraction.

Given:

The number is \dfrac{1}{4}.

Explanation:

The whole numbers is the series of numbers that starts from zero.

The natural numbers are those numbers that start from one.

The place values are only natural numbers.

The base ten systems represent the position of a place value.

The given number is \dfrac{1}{4}.

Consider the number \dfrac{1}{4} as \text{A}.

A = \dfrac{1}{4}

Divide 1 by 4 to obtain the whole of \dfrac{1}{4}.

\begin{aligned}\text{A}&= \frac{1}{4}\\&= 0.25\\\end{aligned}

The decimal expansion of \dfrac{1}{4} is 0.25.

The whole number of \dfrac{1}{4} is \boxed{0.25}.

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Answer details:

Grade: High school

Subject: Mathematics

Chapter: Number system

Keywords: place value, base value, decimal expansion, whole number, natural number, division, multiplication, subtraction, solve the equation, solution, linear equation, line, decimal.

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