Get the algebraic expression in the following case using variables, constants and arithmetic operations. One-half of the sum of numbers x and y.

Get the algebraic expression in the following case using variables, constants and arithmetic operations.

One-half of the sum of numbers x and y.

One Line Answer

`1/2 (x + y)`

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If a² + b² + c² = 20 and a + b + c = 0, find ab + bc + ca.

Separate the constants and variables from the following :

`-7,7+"x",7"x"+"yz",sqrt5,sqrt("xy"),(3"yz")/8,4.5"y"-3"x",`

8 −5, 8 − 5x, 8x −5y × p and 3y²z ÷ 4x

Multiply: (2x - 3y)(2x + 3y)

Multiply: (-2x + 3y)(2x - 3y)

Divide: p² + 4p + 4 by p + 2

Divide: x³ − 6x² + 11x − 6 by x² − 4x + 3

Express the following as an algebraic expression:

The sum of x and y minus m.

Write the coefficient of x² and x in the following polynomials

`4 + 2/5x^2 - 3x`

The total number of planets of Sun can be denoted by the variable n.

Match Column I with Column II in the following:

Column I	Column II
1. The difference of 3 and a number squared	(a) 4 – 2x
2. 5 less than twice a number squared	(b) n² – 3
3. Five minus twice the square of a number	(c) 2n² – 5
4. Four minus a number multiplied by 2	(d) 5 – 2n²
5. Seven times the sum of a number and 1	(e) 3 – n²
6. A number squared plus 6	(f) 2(n + 6)
7. 2 times the sum of a number and 6	(g) 7(n + 1)
8. Three less than the square of a number	(h) n² + 6