Divide: m2 − 2mn + n2 by m − n - Mathematics

Divide: m² − 2mn + n² by m − n

योग

m² − 2mn + n² by m − n

m − n
`"m" − "n")overline("m"^2 - 2"mn" + "n"^2)(`
m² − mn
− +
− mn + n²
− mn + n²
+ −
xxx
= m − n

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

अध्याय 11 Fundamental Concepts (Including Fundamental Operations)
Exercise 11 (D) | Q 2.02

Factorize: a (a + b)³ - 3a²b (a + b)

Factorize x³ - 2x² y + 3xy² - 6y³

Simplify : \[\frac{1 . 2 \times 1 . 2 \times 1 . 2 - 0 . 2 \times 0 . 2 \times 0 . 2}{1 . 2 \times 1 . 2 + 1 . 2 \times 0 . 2 + 0 . 2 \times 0 . 2}\]

(x + y)³ − (x − y)³ can be factorized as

The factors of x⁴ + x² + 25 are

Write the number of the term of the following polynomial.

ax – by + y x z

Multiply: (3x - 5y + 2)(5x - 4y - 3)

Divide: 12a² + ax - 6x² by 3a - 2x

3p² – 5pq + 2q² + 6pq – q² + pq is a

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