What is factor 64a^6-729b^6 ?

The solution to factor 64a^6-729b^6 is (2a+3b)(4a^2-6ab+9b^2)(2a-3b)(4a^2+6ab+9b^2)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

factor 64a^6-729b^6

factor

64 a^{6} - 729 b^{6}

(2 a + 3 b) (4 a^{2} - 6 ab + 9 b^{2}) (2 a - 3 b) (4 a^{2} + 6 ab + 9 b^{2})

Solution steps

64 a^{6} - 729 b^{6}

64 a^{6} = (8 a^{3})^{2}

729 b^{6} = (27 b^{3})^{2}

= (8 a^{3})^{2} - (27 b^{3})^{2}

Apply Difference of Two Squares Formula:

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

(8 a^{3})^{2} - (27 b^{3})^{2} = (8 a^{3} + 27 b^{3}) (8 a^{3} - 27 b^{3})

= (8 a^{3} + 27 b^{3}) (8 a^{3} - 27 b^{3})

Factor

8 a^{3} + 27 b^{3} : (2 a + 3 b) (4 a^{2} - 6 ab + 9 b^{2})

= (2 a + 3 b) (4 a^{2} - 6 ab + 9 b^{2}) (8 a^{3} - 27 b^{3})

Factor

8 a^{3} - 27 b^{3} : (2 a - 3 b) (4 a^{2} + 6 ab + 9 b^{2})

= (2 a + 3 b) (4 a^{2} - 6 ab + 9 b^{2}) (2 a - 3 b) (4 a^{2} + 6 ab + 9 b^{2})

x^{2} + (2 x)^{\frac{1}{2}} + x + 2

33 \cdot x^{3} - 55 \cdot y^{3}

\frac{( 25 x ^{2} - 15 x + 30 )}{5}

(\frac{1}{2} x + \frac{2}{3} y)^{2}

x^{16} + x^{8} + 1

What is factor 64a^6-729b^6 ?
The solution to factor 64a^6-729b^6 is (2a+3b)(4a^2-6ab+9b^2)(2a-3b)(4a^2+6ab+9b^2)