Step-by-step explanation:
(4sin0 × 4sin0) +(4sin0 × -3cos0)+ (3cos0×4sin0) +(3cos0 × -3cos0)=
16 sin²0 - 12 sin0cos0 + 12 sin0cos0 -
9cos²0
= 16sin²0 - 9 cos²0
[tex]\\ \sf\longmapsto (4sin\theta+2cos\theta)(4sin\theta-3cos\theta)[/tex]
[tex]\boxed{\sf (a+b)(a-b)=a^2-b^2}[/tex]
[tex]\\ \sf\longmapsto (4sin\theta)^2-(3cos\theta)^2[/tex]
[tex]\\ \sf\longmapsto 16sin^2\theta-9cos^2\theta[/tex]