Question

Sin^4(a)+sin^2(a)×cos^2(a)-sin^2(a)

Answer 1

Решение во вложении.

Answer 2

To simplify the given expression, let's work step-by-step:

1. Start with the given expression: sin^4(a) + sin^2(a) × cos^2(a) - sin^2(a).

2. Notice that sin^2(a) × cos^2(a) is the same as sin^2(a) × (1 - sin^2(a)) since cos^2(a) = 1 - sin^2(a).

3. Now, the expression becomes: sin^4(a) + sin^2(a) × (1 - sin^2(a)) - sin^2(a).

4. Distribute sin^2(a) across the parentheses: sin^4(a) + sin^2(a) - sin^4(a) - sin^2(a).

5. Now, we can see that the sin^4(a) terms cancel out, as well as the sin^2(a) terms. So, the expression simplifies to:

Therefore, the final simplified expression is 0.