Question

1.) 45r^3-15r^2 *Factoring* 2.) 9x^2-3x 3.) X^2+3x

Answer 1

NOTES: Find the common factor of the terms and factor it out:

1. Answer:   15r²(3r - 1)

Step-by-step explanation:

45r³ - 15r²      they both have 15 and r² as factors

$15r^2\bigg(\dfrac{45r^3}{15r^2}-\dfrac{15r^2}{15r^2}\bigg)$

= 15r²(3r - 1)

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2. Answer:   3x(3x - 1)

Step-by-step explanation:

9x² - 3x          they both have 13 and x as factors

$3x\bigg(\dfrac{9x^2}{3x}-\dfrac{3x}{3x}\bigg)$

= 3x (3x - 1)

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3. Answer:    x(x + 3)

Step-by-step explanation:

x² + 3x         they both have x as a factor

$x\bigg(\dfrac{x^2}{x}+\dfrac{3x}{x}\bigg)$

= x(x + 3)