Solve the following:
(P). 2(5t + 8 ) + 9(2t + 1 )
Solution ======> 28t + 25
Steps:
2(5t + 8 ) + 9(2t + 1 )
Expand 2(5t + 8 ): 10t + 16
10 + 16 + 9( 2t + 1 )
Expand 9(2t + 1 ): 18t + 9
10t + 16 + 18t + 9
Simplify:
10t + 16 + 18t + 9 ========> answer: 28t + 25
K.). 1 + 7 (4 + 3t ) + 5 (12 + t ) =====> 26t + 89
Let's simplify step-by-step.
1 + 7(4 + 3t) + 5(12 + t)
Distribute:
= 1 +(7)(4) + (7)(3t) + (5)(12) + (5)(t)
= 1 + 28 + 21t + 60 + 5t
Combine Like Terms:
= 1 + 28 + 21t + 60 + 5t
= (21t + 5t) + (1 + 28 + 60)
= 26t + 89
Answer:
= 26t + 89
V.). 4 (6t + 5 ) + 9t + 3 (4t + 7 ) =====> 45t + 41
Let's simplify step-by-step.
4(6t + 5) + 9t + 3(4t + 7)
Distribute:
= (4)(6t) + (4)(5) + 9t + (3)(4t) + (3)(7)
= 24t + 20 + 9t + 12t + 21
Combine Like Terms:
= 24t + 20 + 9t + 12t + 21
= (24t + 9t + 12t) + (20+21)
= 45t + 41
Answer:
= 45t + 41
N.). t (t + 8 ) + 5 (t^2 + 6 ) =====> 6t^2 + 8t + 30
Let's simplify step-by-step.
t(t + 8) + 5(t^2 + 6)
Distribute:
= (t)(t) + (t)(8) + (5)(t^2) + (5)(6)
= t2 + 8t + 5t^2 + 30
Combine Like Terms:
= t^2 + 8t + 5t^2 + 30
= (t^2 + 5t^2) + (8t) + (30)
= 6t^2 + 8t + 30
Answer:
= 6t^2 + 8t + 30
F.). 6 (6t^2 + 7t ) + 2 (5t + 16 ) ======> 36t^2 + 52t + 32
Steps:
6 (6t^2 + 7t ) + 2 (5t + 16 )
Expand:
6(6t^2 + 7t ): 36t^2 + 42t
36t^2 + 42t + 2 (5t + 16 )
Expand:
2 (5t + 16 ): 10t + 32
36t^2 + 42t + 10t + 32
Add Similar Elements:
42t + 10t = 52t
Answer =======> 36t^2 + 52t + 32
L.). 3t^2 + t (4t + w ) + 8tw + ????????????????
Cant see the rest of the Equation.......??????
Hope that helps!!!! : )