What is ((a^4-b^4))/((a-b)) ?

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify ((a^4-b^4))/((a-b))

simplify

\frac{( a ^{4} - b ^{4} )}{( a - b )}

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

Solution steps

\frac{a ^{4} - b ^{4}}{a - b}

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

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

= \frac{( a ^{2} ) ^{2} - ( b ^{2} ) ^{2}}{a - b}

Apply Difference of Two Squares Formula:

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

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

= \frac{( a ^{2} + b ^{2} ) ( a ^{2} - b ^{2} )}{a - b}

Apply Difference of Two Squares Formula:

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

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

= \frac{( a ^{2} + b ^{2} ) ( a + b ) ( a - b )}{a - b}

Cancel the common factor:

a - b

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

\frac{8 ! 7 !}{9 ! 5 !}

∣ x ∣ = - 14

6 n^{2} = 9 n

4 = x + 5 - 6 x

x^{2} + 6 x + 144 = 0

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