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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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