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

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 expressions.

The correct answer is: (x-1/3)(x+1/3) is the required product of binomials.

Ans :- $open parentheses x minus 1 third close parentheses open parentheses x plus 1 third close parentheses$ is the required product of binomials.
Given , $x squared minus 1 over 9$
Write $text end text 1 over 9 text as end text open parentheses 1 third close parentheses squared text then we get end text x squared minus open parentheses 1 third close parentheses squared$
As $a squared minus b squared equals left parenthesis a minus b right parenthesis left parenthesis a plus b right parenthesis$
Here a = x and b = $1 third$
$x squared minus 1 over 9 equals open parentheses x minus 1 third close parentheses open parentheses x plus 1 third close parentheses$
∴ $open parentheses x minus 1 third close parentheses open parentheses x plus 1 third close parentheses$ is the required product of binomials.

Related Questions to study

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

What is the radius of a cylinder that has a height of 3 in. and a volume of $pi open parentheses 27 x squared plus 18 x plus 3 close parentheses i$ ?

What is the radius of a cylinder that has a height of 3 in. and a volume of $pi open parentheses 27 x squared plus 18 x plus 3 close parentheses i$ ?

How can you determine if a binomial of the form $x squared minus a over b$ is factorable using rational constants?

How can you determine if a binomial of the form $x squared minus a over b$ is factorable using rational constants?

Volume of a right circular cone of radius r and height h is given by __________

Volume of a right circular cone of radius r and height h is given by __________

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.