Question

Factorise x^6 - 4^6

pls post the right answer.​

Answer 1

Answer:

1 Evaluate the exponent

6−1⋅46

x^{6}-1 \cdot {\color{#c92786}{4^{6}}}x6−1⋅46

6−1⋅4096

x^{6}-1 \cdot {\color{#c92786}{4096}}x6−1⋅4096

2

Multiply the numbers

6−1⋅4096

x^{6}{\color{#c92786}{-1}} \cdot {\color{#c92786}{4096}}x6−1⋅4096

6−4096

x^{6}{\color{#c92786}{-4096}}x6−4096

Solution

6−4096

HOPE IT HELPS YOU

Answer 2

Answer:

( x + 4 ) ( x - 4 ) ( x² + 16 + 4x ) ( x² + 16 - 4x )

Step-by-step explanation:

x⁶ - 4⁶

= ( x³ )² - ( 4³ )²

Formula : -

a² - b² = ( a + b ) ( a - b )

Here,

a = x³

b = 4³

( x³ )² - ( 4³ )²

= ( x³ + 4³ ) ( x³ - 4³ )

x³ + 4³

Formula : -

a³ + b³ = ( a + b ) ( a² + b² - ab )

Here,

a = x

b = 4

x³ + 4³ = ( x + 4 ) ( x² + 4² - 4x )

x³ - 4³

Formula : -

a³ - b³ = ( a - b ) ( a² + b² + ab )

Here,

a = x

b = 4

x³ - 4³ = ( x - 4 ) ( x² + 4² + 4x )

( x³ + 4³ ) ( x³ - 4³ )

= ( x + 4 ) ( x² + 4² - 4x ) ( x - 4 ) ( x² + 4² + 4x )

= ( x + 4 ) ( x² + 16 - 4x ) ( x - 4 ) ( x² + 16 + 4x )

= ( x + 4 ) ( x - 4 ) ( x² + 16 + 4x ) ( x² + 16 - 4x )

Therefore,

x⁶ - 4⁶

= ( x + 4 ) ( x - 4 ) ( x² + 16 + 4x ) ( x² + 16 - 4x )