Divide: 15x2 + 31xy + 14y2 by 5x + 7y

Divide: 15x² + 31xy + 14y² by 5x + 7y

Sum

15x² + 31xy + 14y² by 5x + 7y

3x + 2y
`"5x" + "7y")overline("15x"^2 + 31"xy" + 14"y"^2)(`
15x² − 21xy
− −
10xy + 14y²
10xy + 14y²
− −
xxx
= 3x + 2y

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Chapter 13: Fundamental Concepts (Including Fundamental Operations) - Exercise 11 (D)

Chapter 13 Fundamental Concepts (Including Fundamental Operations)
Exercise 11 (D) | Q 2.1

Factorize 4( x - y)² -12( x - y)( x + y ) + 9(x + y )²

Factorize `21x^2 - 2x + 1/21`

Factorize the following expressions:

y³ +125

Factorize the following expressions:

1029 – 3x³

(a – 3b)³ + (3b – c)³ + (c – a)³

If a² + b² + c² = 250 and ab + bc + ca = 3, find a + b + c.

Write the value of 48³ − 30³ − 18³.

The factors of x² + 4y² + 4y − 4xy − 2x − 8 are

In a polynomial, the exponents of the variables are always ______.

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