###### Advertisements

###### Advertisements

**Enclose the given term in bracket as required:**

x^{2} – xy^{2} – 2xy – y^{2} = x^{2} – (……..)

###### Advertisements

#### Solution

x^{2} – xy^{2} – 2xy – y^{2}

= x^{2} – **(xy ^{2} + 2xy + y^{2})**

#### APPEARS IN

#### RELATED QUESTIONS

Identify the terms, their coefficients for the following expressions.

3 − pq + qr − rp

Identify the numerical coefficient of term (other than constant) in the following expression:

5 − 3t^{2}

Identify terms which contain y^{2} and give the coefficient of y^{2}.

8 - xy^{2}

Identify the term, their coefficients for the following expression:

7x^{2}yz − 5xy

Identify the term, their coefficients for the following expression:

9 − ab + bc − ca

Constant is only 8 other is variable 2x ÷ 15

Constant is only 8 other is variable ax + 9

Write the coefficient of: xy in – 3axy

Write the coefficient of: 15 in – 15p^{2}

For the following monomials, write its degree: xy^{2}z

Add : - 3a + 2b and 3a + b

Find the sum of: 3x + 8y + 7z, 6y + 4z- 2x and 3y – 4x + 6z

Find the sum of: 4x^{2}+ 8xy – 2y^{2} and 8xy – 5y^{2} + x^{2}

Find the sum of: a^{2} + b^{2} + 2ab, 2b^{2} + c^{2} + 2bc and 4c^{2} -a^{2} + 2ac

**Subtract the second expression from the first:**

a^{3} - 1 + a, 3a - 2a^{2 }

Find the missing term

6xy × _________ = –12x^{3}y

Find the missing term

_________ × (−15m^{2}n^{3}p) = 45m^{3}n^{3}p^{2}

Find the missing term

2y(5x^{2}y – ___ + 3 ___ ) = 10x^{2}y^{2} – 2xy + 6y^{3}

The number of terms in the expression 3ab + 4c – 9 is __________

The numerical co-efficient of the term −xy is __________

x + (−x) = 0

The co-efficient of ab in the term 15 abc is 15

Find the numerical co-efficient of the following term:

12k

Find the numerical co-efficient of the following term:

y

Find the numerical co-efficient of the following term:

121bc

Find the numerical co-efficient of the following term:

– x

Find the numerical co-efficient of the following term:

9pq

Find the numerical co-efficient of the following term:

2ab

The numerical co-efficient of −7mn is

To add two like terms, its coefficients can be added

The coefficient of leading term of the expression 3z^{2}y + 2x – 3 is _________

Factorised form of r^{2} – 10r + 21 is ______.

The value of (3x^{3} +9x^{2} + 27x) ÷ 3x is ______.

38x^{3}y^{2}z ÷ 19xy^{2} is equal to ______.

The side of the square of area 9y^{2} is ______.

**Write the greatest common factor in the following terms. **

3x^{3}y^{2}z, – 6xy^{3}z^{2}, 12x^{2}yz^{3}

**Factorise the following expression.**

24x^{2}yz^{3} – 6xy^{3}z^{2} + 15x^{2}y^{2}z – 5xyz

**Factorise the following expression.**

ax^{2}y – bxyz – ax^{2}z + bxy^{2}^{ }

Identify the term and their factor in the following expression.

Show the term and factor by tree diagram.

1 + x + x^{2}

Identify term and factor in the expression given below:

pq + q

Identify term and factor in the expression given below:

`3/4 x + 1/4`

**Write the coefficient of x ^{2} in the following:**

x^{3} – 2x^{2} + 3x + 1

**Write the coefficient of x ^{2} in the following:**

1 + 2x + 3x^{2} + 4x^{3}

**Observe the following nutritional chart carefully:**

Food Item (Per Unit = 100g) |
Carbohydrates |

Rajma | 60g |

Cabbage | 5g |

Potato | 22g |

Carrot | 11g |

Tomato | 4g |

Apples | 14g |

Write an algebraic expression for the amount of carbohydrates (in grams) for y units of potatoes and 2 units of rajma.

Arjun bought a rectangular plot with length x and breadth y and then sold a triangular part of it whose base is y and height is z. Find the area of the remaining part of the plot.

Amisha has a square plot of side m and another triangular plot with base and height each equal to m. What is the total area of both plots?