Given expression: (t+8)(3+³+41+5)
Steps to multiply and simplify:
Multiply t with each term inside the second bracket: t(3) + t(³) + t(4) + t(1) = 3t + ³t + 4t + t = 8t
Multiply 8 with each term inside the second bracket: 8(3) + 8(³) + 8(4) + 8(1) = 24 + ³24 + 32 + 8 = 72 + ³24
Combine like terms: 8t + 72 + ³24
Final simplified expression: 8t + 72 + ³24