Question

Multiply and simplify.

(t+8)(3+³+41+5)
Hint:
1. Multiply
t(3t³+4t+5)
2. Multiply 8(3t³ +4t+5)
3. Combine LIKE terms.

Answer 1

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

Answer 2

3t^4 + 4t^2 + 5t + 24t^3 + 32t + 40

3t^4 + 24t + 4t^2 + 37t + 40