To simplify the expression, let's factor out a common term from each denominator:
a²/a² - b² + b²/b² - a²
Now, we can simplify each term:
1 - b²/a² + 1 - a²/b²
Combining like terms, we get:
2 - (b²/a² + a²/b²)
To simplify further, we need to find a common denominator for the fractions in the parentheses. The common denominator is a²b², so we rewrite the expression as:
2 - (b²b²/a²b² + a²a²/b²a²)
Simplifying each fraction, we have:
2 - (b^4/a^2b^2 + a^4/b^2a^2)
Now, we can combine the fractions by finding a common denominator, which is a²b²:
2 - (b^4/a^2b^2 + a^4/b^2a^2)
2 - (b^4 + a^4)/(a^2b^2)
Finally, we can subtract the fraction within the parentheses:
2 - (b^4 + a^4)/(a^2b^2)
This is the simplified expression for the given value.
Answers & Comments
Answer:
a=+1 or a=-1
Step-by-step explanation:
[tex]a^{2} / a^{2} = 1[/tex]
[tex]-b^{2} + b^{2} = 0 \\\\0/b ^{2} = 0[/tex]
ans = 1-0-a^2
[tex]a^{2} = 1[/tex]
a= +1 or a= -1
HOPE IT HELPS
To simplify the expression, let's factor out a common term from each denominator:
a²/a² - b² + b²/b² - a²
Now, we can simplify each term:
1 - b²/a² + 1 - a²/b²
Combining like terms, we get:
2 - (b²/a² + a²/b²)
To simplify further, we need to find a common denominator for the fractions in the parentheses. The common denominator is a²b², so we rewrite the expression as:
2 - (b²b²/a²b² + a²a²/b²a²)
Simplifying each fraction, we have:
2 - (b^4/a^2b^2 + a^4/b^2a^2)
Now, we can combine the fractions by finding a common denominator, which is a²b²:
2 - (b^4/a^2b^2 + a^4/b^2a^2)
2 - (b^4 + a^4)/(a^2b^2)
Finally, we can subtract the fraction within the parentheses:
2 - (b^4 + a^4)/(a^2b^2)
This is the simplified expression for the given value.
[tex].....[/tex]