What is factor 9k^2-(5m-1)^2 ?

The solution to factor 9k^2-(5m-1)^2 is (5m+3k-1)(-5m+3k+1)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

factor 9k^2-(5m-1)^2

factor

9 k^{2} - (5 m - 1)^{2}

(5 m + 3 k - 1) (- 5 m + 3 k + 1)

Solution steps

9 k^{2} - (5 m - 1)^{2}

Simplify

9 k^{2} : (3 k)^{2}

= (3 k)^{2} - (5 m - 1)^{2}

Apply Difference of Two Squares Formula:

x^{2} - y^{2} = (x + y) (x - y)

(3 k)^{2} - (5 m - 1)^{2} = (3 k + (5 m - 1)) (3 k - (5 m - 1))

= (3 k + (5 m - 1)) (3 k - (5 m - 1))

Simplify

(3 k + (5 m - 1)) (3 k - (5 m - 1)) : (3 k + 5 m - 1) (3 k - 5 m + 1)

= (3 k + 5 m - 1) (3 k - 5 m + 1)

= (5 m + 3 k - 1) (- 5 m + 3 k + 1)

\frac{2 x - 3}{4} - \frac{3 + 2 x}{9} = 2 - \frac{x + 1}{6}

x + \frac{5}{3} \leq 2 x + \frac{1}{3} \leq 3 x + \frac{4}{3}

648 a + 1029 a^{2}

54 + x = 180

- 5.2 + 57.9 = 15.9 + 1.8 x

What is factor 9k^2-(5m-1)^2 ?
The solution to factor 9k^2-(5m-1)^2 is (5m+3k-1)(-5m+3k+1)