What is factor a^4-16b^4 ?

The solution to factor a^4-16b^4 is (a^2+4b^2)(a+2b)(a-2b)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

factor a^4-16b^4

factor

a^{4} - 16 b^{4}

(a^{2} + 4 b^{2}) (a + 2 b) (a - 2 b)

Solution steps

a^{4} - 16 b^{4}

a^{4} = (a^{2})^{2}

16 b^{4} = (4 b^{2})^{2}

= (a^{2})^{2} - (4 b^{2})^{2}

Apply Difference of Two Squares Formula:

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

(a^{2})^{2} - (4 b^{2})^{2} = (a^{2} + 4 b^{2}) (a^{2} - 4 b^{2})

= (a^{2} + 4 b^{2}) (a^{2} - 4 b^{2})

Factor

a^{2} - 4 b^{2} : (a + 2 b) (a - 2 b)

= (a^{2} + 4 b^{2}) (a + 2 b) (a - 2 b)

1 - cos^{2} (a)

\frac{2}{a + 2} + \frac{1}{a} + \frac{a - 1}{a ^{2} + 2 a}

x^{10} - 10 x^{6} + 9 x^{2}

(x + 4) (x + 2) (x - 1) (x - 3)

27 - 125 a^{3} - 135 a + 225 a^{2}

What is factor a^4-16b^4 ?
The solution to factor a^4-16b^4 is (a^2+4b^2)(a+2b)(a-2b)