Divide: 8a2 + 4a - 60 by 2a - 5 - Mathematics

Divide: 8a² + 4a - 60 by 2a - 5

Sum

8a² + 4a - 60 by 2a - 5

4a + 12
`"2a" - 5)overline("8a"^2 + 4"a" - 60)(`
8a² - 20a
- +
24a - 60
24a - 60
- +
xxx
= 4a + 12

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Chapter 11: Fundamental Concepts (Including Fundamental Operations) - Exercise 11 (D)

Chapter 11 Fundamental Concepts (Including Fundamental Operations)
Exercise 11 (D) | Q 2.08

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-fourth of the product of numbers p and q.

Factorize 8x² + y³ +12x² y + 6xy²

If \[x^2 + \frac{1}{x^2} = 18,\] find the values of \[x + \frac{1}{x} \text { and } x - \frac{1}{x} .\]

Find the value of the following expression: 81x² + 16y² − 72xy, when \[x = \frac{2}{3}\] and \[y = \frac{3}{4}\]

Write the value of 30³ + 20³ − 50³.

If x³ − 3x² + 3x − 7 = (x + 1) (ax² + bx + c), then a + b + c =

Divide: 10a³ - 15a²b by - 5a²

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

Express the following properties with variables x, y and z.

Associative property of addition