The product of two consecutive odd integers is 255. Find the integers

Q: Factor.  5m^2 +45mn - 50n^2

A: The given expression is,

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A:

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A: Given query is to find the number of terms in the polynomial.

Q: Two integers differ by 4. If the sum of their squares is 170, determine the two integers.

A: The detailed solution is as follows below:

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A: Given b=7,h=5,B=15.

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A:

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A: To factorize the polynomial.

Q: Leon knows that his first four test grades were 89, 93, 95, and 98. Use the formula X = X1+x2+ .+ Xn…

A: Here,n=5

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A:

Q: Find the remainder when 21000 is divided by 23.

A: Since 2 is co-prime to 23, thus by Euler's theorem,       2φ(23) ≡ 1 (mod 23)      => 222 ≡ 1…

Q: Jack's mother gave him 505050 chocolates to give to his friends at his birthday party. He gave 333…

A: Jack's mother gave him 505050 chocolates to give to his friends at his birthday party. He gave 333…

Q: twice the difference of a number and 4 is at least 12

A: Please see the below picture for detailed solution.

Q: three times The smaller of two consecutive odd integers is the same as -236-7 times the larger…

A:

Q: Divide (3x²+ 2. + 24 +17 Quotient REMAInder

A: To find quotient and remainder.

Q: Twelve less than the product of eight and a number is fifty

A: Solution :   Let  x  be  a number