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

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-fourth of the product of numbers p and q.

Factorize the following expressions:

8a³ - b³ - 4ax + 2bx

`(x/2 + y + z/3)^3 + (x/2 + (2y)/3 + z)^3 + (-(5x)/6 - y/3 - (4z)/3)^3`

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: 64x² + 81y² + 144xy, when x = 11 and \[y = \frac{4}{3}\]

The factors of x⁴ + x² + 25 are

Evaluate: (4m - 2)(m² + 5m - 6)

Multiply: (6x - 2y)(3x - y)

Divide: 2m³n⁵ by - mn

An equation is true for all values of its variables.