What is factor 16a^4b^6-c^6 ?

The solution to factor 16a^4b^6-c^6 is (4a^2b^3+c^3)(4a^2b^3-c^3)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

factor 16a^4b^6-c^6

factor

16 a^{4} b^{6} - c^{6}

(4 a^{2} b^{3} + c^{3}) (4 a^{2} b^{3} - c^{3})

Solution steps

16 a^{4} b^{6} - c^{6}

16 a^{4} b^{6} = (4 a^{2} b^{3})^{2}

c^{6} = (c^{3})^{2}

= (4 a^{2} b^{3})^{2} - (c^{3})^{2}

Apply Difference of Two Squares Formula:

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

(4 a^{2} b^{3})^{2} - (c^{3})^{2} = (4 a^{2} b^{3} + c^{3}) (4 a^{2} b^{3} - c^{3})

= (4 a^{2} b^{3} + c^{3}) (4 a^{2} b^{3} - c^{3})

lo g_{2} (4 \cdot 8)

9 + - 27 + 100 - - 3

(1 - 3 a x) (1 + 3 a x)

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

What is factor 16a^4b^6-c^6 ?
The solution to factor 16a^4b^6-c^6 is (4a^2b^3+c^3)(4a^2b^3-c^3)