What is factor a^6b^6-0.01 ?

The solution to factor a^6b^6-0.01 is (a^3b^3+0.1)(a^3b^3-0.1)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

factor a^6b^6-0.01

factor

a^{6} b^{6} - 0.01

(a^{3} b^{3} + 0.1) (a^{3} b^{3} - 0.1)

Solution steps

a^{6} b^{6} - 0.01

Rewrite

a^{6} b^{6} - 0.01

(a^{3} b^{3})^{2} - (0.01)^{2}

= (a^{3} b^{3})^{2} - (0.01)^{2}

Apply Difference of Two Squares Formula:

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

(a^{3} b^{3})^{2} - (0.01)^{2} = (a^{3} b^{3} + 0.01) (a^{3} b^{3} - 0.01)

= (a^{3} b^{3} + 0.01) (a^{3} b^{3} - 0.01)

0.01 = 0.1

= (a^{3} b^{3} + 0.1) (a^{3} b^{3} - 0.1)

x^{3} y^{6} z^{12} - 512

C (6.3)

3 m y + 7 x + 7 m + 3 x y

(r + 1)^{2} - 7 (r + 1) - 30

(3 x + 5) (3 x + 5)

What is factor a^6b^6-0.01 ?
The solution to factor a^6b^6-0.01 is (a^3b^3+0.1)(a^3b^3-0.1)