What is the vocabulary of eqations

Ответ:

andreapgomezr

18.01.2022

That's the mathematical meaning of equation, but equation can also be used in any number of situations, challenges, or efforts to solve a problem. The "equa" at the beginning of equation will be familiar from other words such as "equal," "equality," and "equate."

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Ответ:

JessTaylr04

26.04.2022

Mathematics

Let us manipulate this expression: $3^{n+2} - 2^{n+2} + 3^n - 2^n$ by algebraically manipulating, we are not changing the value of this expression.exponent property: $x^{m+n} = x^m \cdot x^n$ we use that exponent property to decompose those exponents. $3^{n+2} - 2^{n+2} + 3^n - 2^n$ $= (3^n)(3^2) - (2^n)(2^2)+ 3^n - 2^n$ move $3^n$ together with $(3^n)(3^2)$ to set up for factoring by grouping. $= (3^n)(3^2) + 3^n - (2^n)(2^2) - 2^n$ factor out $3^n$ out of the left section $= 3^n(3^2 + 1) - (2^n)(2^2) - 2^n$ factor out $-2^n$ out of the right section $= 3^n(3^2 + 1) - 2^n(2^2 + 1)$ $= 3^n(9 + 1) - 2^n(4 + 1)$ $= 3^n(10) - 2^n(5)$ factor out 10 from the entire thing: $= 10\left(3^n - 2^n \cdot \tfrac{1}{2}\right)$ $= 10\left(3^n - \tfrac{2^n }{2}\right)$ exponent property: $\dfrac{x^m}{x^n} = x^{m-n}$ apply: $= 10\left(3^n - 2^{n-1}\right)$ so a series of manipulations tells is that the above result is equal to the original expression.if we divide $10\left(3^n - 2^{n-1}\right)$ by 10, the 10 factor will cancel out. the entirety of the inside is just a natural number since exponents raised to a natural number results in a natural number answer.so it's divisible by 10.

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