Question

Срочно, даю много баллов

Answer 1

Cos⁴α + 2Sin²α Cos²α + Sin⁴α = (Cos²α)² + 2Sin²αCos²α + (Sin²α)² =

= (Cos²α + Sin²α)² = 1² = 1

Answer 2

$sin^4a+2\cdot sin^2a\cdot cos^2a+cos^4a=(sin^2a)^2+2\cdot sin^2a\cdot cos^2a+(cos^2a)^2=\\\\=(sin^2a+cos^2a)^2=1^2=1$