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Black_prince [1.1K]
2 years ago
7

The algebraic expression

- 9p" alt="9p - 10q + 3 - 9p" align="absmiddle" class="latex-formula"> is a?
Just tell me what kind of expression it is. Extra points if you answer it.
Mathematics
2 answers:
DIA [1.3K]2 years ago
3 0

Answer:

Linear expression

Step-by-step explanation:

First, simplify the expression.

Given expression: 9p-10q+3-9p

Collect like terms:   9p-9p-10q+3

Combine like terms:   -10q+3

As each term of the expression is either a numeric constant or a variable with no exponent, this is a <u>linear expression</u>.

It can also be called a <u>binomial expression</u> since the expression only contains two terms (the constant and the variable).

kirill [66]2 years ago
3 0

Answer:

Binomial

Step-by-step explanation:

Simplify the expression :

  • 9p - 10q + 3 - 9p
  • 3 - 10q

There are 2 terms.

Hence, it is a <u>binomial</u>

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Given the matrix

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A^2 = A*A= \left[\begin{array}{ccc}2&3\\-1&4\end{array}\right] *\left[\begin{array}{ccc}2&3\\-1&4\end{array}\right] = \left[\begin{array}{ccc}2*2-3*1&2*3+3*4\\-1*2-4*1&-1*3+4*4\end{array}\right] =\left[\begin{array}{ccc}1&18\\-6&13\end{array}\right]

6A=6*\left[\begin{array}{ccc}2&3\\-1&4\end{array}\right] =\left[\begin{array}{ccc}12&18\\-6&24\end{array}\right]

11 I = 11 * \left[\begin{array}{ccc}1&0\\0&1\end{array}\right] =\left[\begin{array}{ccc}11&0\\0&11\end{array}\right]

∴ A² - 6A + 11 I = \left[\begin{array}{ccc}1&18\\-6&13\end{array}\right] -\left[\begin{array}{ccc}12&18\\-6&24\end{array}\right] +\left[\begin{array}{ccc}11&0\\0&11\end{array}\right] =\left[\begin{array}{ccc}0&0\\0&0\end{array}\right]

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