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satela [25.4K]
3 years ago
15

Write 45 as a product of primes. Use index notation when giving your answer.

Mathematics
1 answer:
mel-nik [20]3 years ago
5 0
I have no clue I just have to answer this to get my math test done so I don’t fail lol
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If (1 + 2x)^5+ (1 - 2x)^5 = a + bx + cx?<br> find the values of the constants a, b and c.
eimsori [14]

Answer:

steps below

Step-by-step explanation:

5th level of Pascal triangle: 1,5,10,10,5,1

(1+2x)⁵ = 1*1⁵*(2x)⁰+5*1⁴*2x+10*1³*(2x)²+10*1²*(2x)³+5*1¹(2x)⁴+1*1⁰*(2x)⁵

           = 1 + 10x + 40x² + 80x³ + 80x⁴ + 32x⁵   .. (1)

(1-2x)⁵ =  1  - 10x + 40x² - 80x³  + 80x⁴ - 32x⁵  .. (2)

(1)+(2): (1+2x)⁵ + (1-2x)⁵ = 160x⁴ + 80x² +2

a + bx + cx ?? suppose it's ax⁴ + bx² + cx, if you have other set up.. adjust by yourself

<u>a = 160,    b = 80,    c = 2</u>

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