factorise: p⁸-q⁸.
do it pls
Answers
Answered by
12
Step-by-step explanation:
p⁸-q⁸
=( p⁴)² - (q⁴)²
=(p⁴+q⁴) (p⁴-q⁴)
=(p⁴+q⁴) {(p²)²-(q²)²}
=(p⁴+q⁴) (p²+q²)(p²-q²)
=(p⁴+q⁴) (p²+q²) (p+q) (p-q)
The identity used here is
a²-b²=(a+b)(a-b)
Answered by
9
Answer:
SOLUTION : p8 - q8...
=( p⁴)² - (q⁴)² ....
= Formula is a² - b² = (a+b) (a-b) where a is p⁴ and b is q⁴ ....
= (p⁴+q⁴) (p⁴-q⁴) .....
= (p⁴+q⁴) { (p²)² - (q²)²} ...
In the second form it is the formula of a²-b² where a is p² and b is q²...
= (p⁴+q⁴) (p²+q²) (p²-q²) it is the correct answer......
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