Have a query? Ask a Tutor!!

Access to best educators and exclusive paper discussions

Can’t find what you’re looking for?

Our tutors are from top schools around the world, and they are waiting for you 24/7, anytime, anywhere.

Homework- One to One Solutions
Understand concepts to solve better
Get your doubts solved instantly

Maths-

General

Easy

Question

Factor the given expression completely.
$121 x squared plus 110 x plus 25$

hint Hint:

using the formula $a squared plus 2 a b plus b squared equals left parenthesis a plus b right parenthesis squared$ factorize the given expression

The correct answer is: (11x+5)2 is the factorized form of the given expression.

Ans:- $left parenthesis 11 x plus 5 right parenthesis squared$ is the factorized form of the given expression.
Given, $121 x squared plus 110 x plus 25$
Write $110 x text as end text 2 left parenthesis 11 x right parenthesis 5 text and end text 25 text as end text left parenthesis 5 right parenthesis squared text and end text 121 x squared text as end text left parenthesis 11 x right parenthesis squared text we get end text left parenthesis 11 x right parenthesis squared plus 2 left parenthesis 11 x right parenthesis 5 plus 5 squared$
Applying $a squared plus 2 a b plus b squared equals left parenthesis a plus b right parenthesis squared$
Here a = 11x ; b = 5
We get , $121 x squared plus 110 x plus 25 equals left parenthesis 11 x plus 5 right parenthesis squared$
∴ $left parenthesis 11 x plus 5 right parenthesis squared$ is the factorized form of the given expression

Related Questions to study

The radii of two cones are same and the ratio of their heights is 2:3, The ratio of their volumes is

The radii of two cones are same and the ratio of their heights is 2:3, The ratio of their volumes is

A solid right circular cone of height 20 cm and base radius 15 cm is melted and casted into smaller cones of equal sizes of height 5 cm and base radius 1.5 cm. Find how many cones are made.

A solid right circular cone of height 20 cm and base radius 15 cm is melted and casted into smaller cones of equal sizes of height 5 cm and base radius 1.5 cm. Find how many cones are made.

Write the factored form of the given expression.
$36 x squared plus 48 x plus 16$

Write the factored form of the given expression.
$36 x squared plus 48 x plus 16$

parallel

Dimensions of a room are 5m $cross times$ 12m $cross times$ 7m, calculate the diagonal of the room and cost of flooring at the room Rs 2

Dimensions of a room are 5m $cross times$ 12m $cross times$ 7m, calculate the diagonal of the room and cost of flooring at the room Rs 2

A cone has a base diameter of 6 cm and a vertical height of 8 cm. Calculate the volume of the cone in cubic centimetres.

A cone has a base diameter of 6 cm and a vertical height of 8 cm. Calculate the volume of the cone in cubic centimetres.

What is the length of the longest pole that can be fit in the room of dimensions 5m x 10m x 5m

What is the length of the longest pole that can be fit in the room of dimensions 5m x 10m x 5m

parallel

The square on the diagonal of a cube has an area of 192 cm². Find the T.S.A of the cube.

The square on the diagonal of a cube has an area of 192 cm². Find the T.S.A of the cube.

Two adjacent sides of the right-angle pf a right-angled triangle are 3 cm and 4 cm. This triangle is revolved around the side of length 3 cm. Find the volume of the cone thus formed. Find also the slant height of the cone (π =3.14).

Two adjacent sides of the right-angle pf a right-angled triangle are 3 cm and 4 cm. This triangle is revolved around the side of length 3 cm. Find the volume of the cone thus formed. Find also the slant height of the cone (π =3.14).

Write the factored form of the given expression.
$49 x squared minus 25$

Write the factored form of the given expression.
$49 x squared minus 25$

parallel

The volume of a cone is 7.8 cm³ and the area of its base is 3.9 cm², find its height?

The volume of a cone is 7.8 cm³ and the area of its base is 3.9 cm², find its height?

Dimensions of the cuboid are in the ratio of 5 : 4: 2 and the whole surface area is 684 cm², find the volume of the cuboid?

Dimensions of the cuboid are in the ratio of 5 : 4: 2 and the whole surface area is 684 cm², find the volume of the cuboid?

Radius and slant height of a cone are 20 cm and 29 cm respectively. Find its volume

Radius and slant height of a cone are 20 cm and 29 cm respectively. Find its volume

parallel

The area of a base of a cuboid is 48 cm² and its height and length of the diagonal are 3 cm and 13 cm respectively. Calculate the length and width of the box?

The area of a base of a cuboid is 48 cm² and its height and length of the diagonal are 3 cm and 13 cm respectively. Calculate the length and width of the box?

Internal length, height, and breadth of an open box are 95 cm, 82 cm, and 75 cm. Thickness of wood is given to be 2.5 cm, calculate the cost of painting outside the box as Rs 1 per dm²

Internal length, height, and breadth of an open box are 95 cm, 82 cm, and 75 cm. Thickness of wood is given to be 2.5 cm, calculate the cost of painting outside the box as Rs 1 per dm²

The total surface area of a cube is 846 cm². Find the height, breadth, and length if the dimensions are in the ratio of 3:4:5

The total surface area of a cube is 846 cm². Find the height, breadth, and length if the dimensions are in the ratio of 3:4:5

parallel

card img

With Turito Academy.

card img

With Turito Foundation.

card img

Get an Expert Advice From Turito.

Turito Academy

card img

With Turito Academy.

Test Prep

card img

With Turito Foundation.