simplify (a^2+b^2)(a^2+b^2)-(a^2-b^2)(a^2-b^2)
Answers
Answered by
1
=(a+b)²×(a+b)²-(a-b)²×(a-b)²
={(a²+b²+2ab)×(a²+b²+2ab)}-{(a²+b²-2ab)×(a²+b²-2ab)}
=(a⁴+b⁴+4ab²)-(a⁴+b⁴-4ab²)
=a⁴+b⁴+4ab²-a⁴-b⁴+4ab²
0+0+8ab²
=8ab²
Answered by
0
Answer:
4a²+2b²
Step-by-step explanation:
given that
(a²+b²)(a²+b²)-(a²-b²)(a²-b²)
(a²+b²)²-(a²-b²)²
by a+b and a-b the whole square formula
(a²)²+(b²)²+2×a²b²-(a²)²+(b²)²-2a²b²
(a⁴+b⁴+2a²b²)-(a⁴+b⁴-2a²b²)
a⁴+b⁴+2a⁴b⁴-a⁴-b⁴+2a²b²
a⁴-a⁴+b⁴-b⁴+2a²b²+2a²b²
2(2a²+b²)
4a²+2b²
Similar questions