could u please tell me the answer for this:

FACTORISE:

a to the power of 6 + b to the power of 6

thanks bipin

Hi Bipin,

The key to factoring is to recognize patterns. Three of the common patterns that you need to recognize are:

• Difference of squares: x² - y² = (x - y)(x + y)
• Difference of cubes: x³ - y³ = (x - y)(x² + xy + y²)
• Sum of cubes: x³ + y³ = (x + y)(x² - xy + y²)

For your problem

a⁶ + b⁶

I see

(something)³ + (something else)³

That is

(a²)³ + (b²)³

Thus it is a sum of cubes as described above with x = a² and y = b².

Can you complete the problem now? If not let us know.

Penny

Go to Math Central