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Find the total number of terms in (1+x+x...

Find the total number of terms in `(1+x+x^2)^3`.

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To find the total number of terms in the expression \((1 + x + x^2)^3\), we can follow these steps: ### Step 1: Understand the expression The expression \((1 + x + x^2)^3\) is a polynomial raised to the power of 3. We need to determine how many distinct terms will be present when we expand this polynomial. ### Step 2: Identify the components The base polynomial \(1 + x + x^2\) consists of three distinct terms: \(1\), \(x\), and \(x^2\). ...
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QUANTUM CAT-PERMUTATIONS & COMBINATIONS-QUESTION BANK
  1. Find the number of terms in (x+y)^n

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  2. Find the total number of terms in the expansion (a+b+c)^2.

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  3. Find the total number of terms in (1+x+x^2)^3.

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  4. What is the coefficient of x^2y^3z^5 in (x+y+z)^(10) ?

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  14. The solution of (2x+3)/(2x-1)=(3x-1)/(3x+1)

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  15. The ratio between the speeds of two cars is 5:8. If the first car cove...

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  16. If the equation 4x^2+x(p+1)+1=0 has exactly two equal roots, one of th...

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  17. A candidate who scores 30% fails by 5 marks, while another candidate w...

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  18. In an election, 2 candidates participate in which the winner gets 60% ...

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  19. A man covers first 48 km of his journey in 40 minutes and next 32 km i...

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  20. If 40% of 60% of 3/5 of a number is 504, what will be the 25% of 2/5 o...

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