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.
$64 x squared y squared minus 144 z squared$

hint Hint:

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

The correct answer is: 16(2xy+3z)(2xy-3z) is the factorized form of the given expression.

Ans:- 16 (2xy + 3z) (2xy - 3z) is the factorized form of the given expression.
Given, $64 x squared y squared minus 144 z squared$
Taking out common factor 16 out of equation , we get $16 open parentheses 4 x squared y squared minus 9 z squared close parentheses$
Write $4 x squared y squared text as end text left parenthesis 2 x y right parenthesis squared text and end text 9 z squared text as end text left parenthesis 3 z right parenthesis squared text we get end text 16 open parentheses left parenthesis 2 x y right parenthesis squared minus left parenthesis 3 z right parenthesis squared close parentheses$
Applying $a squared minus b squared equals left parenthesis a minus b right parenthesis left parenthesis a plus b right parenthesis$
Here a = 2xy ; b = 3z
We get , $64 x squared y squared minus 144 z squared equals 16 left parenthesis 2 x y plus 3 z right parenthesis left parenthesis 2 x y minus 3 z right parenthesis$
∴ 16 ( 2xy + 3z ) ( 2xy - 3z ) is the factorized form of the given expression.

Related Questions to study

Dimensions of a rectangular box are 20mx5mx6m,find the difference between T.S.A and L.S.A

Dimensions of a rectangular box are 20mx5mx6m,find the difference between T.S.A and L.S.A

A funnel is in the shape of a right circular cone with a base radius of 3 cm and a height of 4 cm. Find the slant height of the funnel

A funnel is in the shape of a right circular cone with a base radius of 3 cm and a height of 4 cm. Find the slant height of the funnel

Factor the polynomial as the product of binomials.
$x squared minus 1 over 9$

Factor the polynomial as the product of binomials.
$x squared minus 1 over 9$

parallel

A triangle having sides equal to 7cm, 24cm and 25cm forms a cone when revolved about 24cm side. What is the volume of a cone formed?

A triangle having sides equal to 7cm, 24cm and 25cm forms a cone when revolved about 24cm side. What is the volume of a cone formed?

What is the factored form of $4 x cubed plus 24 x squared plus 36 x space ?$

What is the factored form of $4 x cubed plus 24 x squared plus 36 x space ?$

If the area of 1 face is 81 how much is the surface area of the whole cube?

If the area of 1 face is 81 how much is the surface area of the whole cube?

parallel

calculate the surface area of a cube with a side of 4 mm

calculate the surface area of a cube with a side of 4 mm

Ratio of volume of a cone to the volume of a cylinder for same base radius and
same height is __________

Ratio of volume of a cone to the volume of a cylinder for same base radius and
same height is __________

Find the Total surface area if the given dimensions are 6 cm,4cm, and 5 cm.

Find the Total surface area if the given dimensions are 6 cm,4cm, and 5 cm.

parallel

Factor the given expression.
$9 x squared minus 100$

Factor the given expression.
$9 x squared minus 100$

Factor the polynomial as the product of binomials.
$x squared plus x plus 1 fourth$

Factor the polynomial as the product of binomials.
$x squared plus x plus 1 fourth$

Factor the given expression.
$x squared minus 64$

Factor the given expression.
$x squared minus 64$

parallel

A cone has slanted height of 5cm and height of 4cm, its volume (in cm³ ) is
__________

A cone has slanted height of 5cm and height of 4cm, its volume (in cm³ ) is
__________

Factor the polynomial as the product of binomials.
$p squared minus 49 over 100$

Factor the polynomial as the product of binomials.
$p squared minus 49 over 100$

What is the volume of a cone having radius of 21cm and height of 5cm?

What is the volume of a cone having radius of 21cm and height of 5cm?

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.