Answer:
32x⁵ + 240x⁴ + 720x³ + 1080x² + 810x + 243
Step-by-step explanation:
(2x + 3)⁵
₅C₀ (2x)⁵ (3)⁰ + ₅C₁ (2x)⁴ (3)¹ + ₅C₂ (2x)³ (3)² + ₅C₃ (2x)² (3)³ + ₅C₄ (2x)¹ (3)⁴ + ₅C₅ (2x)⁰ (3)⁵
Use Pascal's triangle to find nCr.

1 (2x)⁵ (3)⁰ + 5 (2x)⁴ (3)¹ + 10 (2x)³ (3)² + 10 (2x)² (3)³ + 5 (2x)¹ (3)⁴ + 1 (2x)⁰ (3)⁵
(2x)⁵ + 15 (2x)⁴ + 90 (2x)³ + 270 (2x)² + 405 (2x)¹ + 243
32x⁵ + 240x⁴ + 720x³ + 1080x² + 810x + 243
Answer:
150
Step-by-step explanation:
15*10
Lets get rid of the 0 for now
15*1
That is 15 added to itself 0 times so it is 15
Now lets put the 0 back
and we will get
150
Answer:
1,2,3,
Step-by-step explanation:
I GOT THE ANSWER WRONG AND IT TOLD ME THE CORRECT ANSWER
we are given that
two triangles are similar
so, the ratio of their sides must be same
we get

now, we can solve for x
step-1: Cross multiply both sides

step-2: Simplify left side

step-3: Subtract both sides by 2x


step-4: Divide both sides by 4

so,
............Answer
Answer:
C.
Step-by-step explanation:
3 times 2 is 6, 2 times 5 is 10, 5 times 3 is 15. However you need 2 for each since there are 3 sets of two equal faces. So it will be 6+6+10+10+15+15