(x-y)(x+y)(x2+y2)(x4+y4) =? condense it
Answers
Answered by
58
Answer:
x⁸ - y⁸
Step-by-step explanation:
Repeatedly use the identity:
( a - b ) ( a + b ) = a² - b²
So....
( x - y ) ( x + y ) ( x² + y² ) ( x⁴ + y⁴ )
= ( x² - y² ) ( x² + y² ) ( x⁴ + y⁴ )
= ( (x²)² - (y²)² ) ( x⁴ + y⁴ )
= ( x⁴ - y⁴ ) ( x⁴ + y⁴ )
= (x⁴)² - (y⁴)²
= x⁸ - y⁸
shaziya92:
yes this is correct ans tnx
but listen in last square of 4 is 16 but u write 8
( x^a )^b = x^(ab) --- The exponents are multiplied.
but square of 4 is 16
Answered by
28
Answer:
(x-y)(x+y)(x2+y2)(x4+y4) =x^8-y^8
Step by Step Explaining
Repeatedly use the identity:
( a - b ) ( a + b ) = a² - b²
So....
( x - y ) ( x + y ) ( x² + y² ) ( x⁴ + y⁴ )
= ( x² - y² ) ( x² + y² ) ( x⁴ + y⁴ )
= ( (x²)² - (y²)² ) ( x⁴ + y⁴ )
= ( x⁴ - y⁴ ) ( x⁴ + y⁴ )
= (x⁴)² - (y⁴)²
= x⁸ - y⁸
Pls Mark it as BRAINLIST
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