MyQuestionIcon

1

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Perfect Square Trinomials

Which of the ...

Question

Which of the following is a factor of $(x + y)^{3} - (x^{3} + y^{3})$ ?

A

x^{2} + y^{2} + 2 x y

No worries! We‘ve got your back. Try BYJU‘S free classes today!

B

x^{2} + y^{2} - x y

No worries! We‘ve got your back. Try BYJU‘S free classes today!

C

x y^{2}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

D

3xy

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

Open in App

Solution

The correct option is D 3xy
$(x + y)^{3} - (x^{3} + y^{3})$
$(x^{3} + y^{3} + 3 x y (x + y) - x^{3} - y^{3}$
$3 x y (x + y)$
So, above term is factor of 3xy.
Answer (D) 3xy

Suggest Corrections

thumbs-up

2

Similar questions

Q. Question 17
Which of the following is a factor of

(x + y)^{3} - (x^{3} + y^{3})

x^{2} + y^{2} + 2 x y

x^{2} + y^{2} - x y

x y^{2}

3 x y

Which of the following is a factor of $(x + y)^{3} - (x^{3} + y^{3})$ ?

(a) $x^{2} + y^{2} + 2 x y$

(b) $x^{2} + y^{2} - x y$

(c) $x y^{2}$

(d) $3 x y$

Which of the following is a factor of $(x + y)^{3} - (x^{3} + y^{3})$ ?

[\frac{x^{3} + y^{3}}{{(x - y)}^{2} + 3 x y}] \div [\frac{{(x + y)}^{2} - 3 x y}{x^{3} - y^{3}}] \times \frac{x y}{x^{2} - y^{2}}

[\frac{x^{3} + y^{3}}{(x - y)^{2} + 3 x y}] + [\frac{(x + y)^{2} - 3 x y}{x^{3} - y^{3}}] \times \frac{x y}{x^{2} - y^{2}}

.

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Perfect Square trinomials

MATHEMATICS

Watch in App

explore_more_icon

Explore more

Perfect Square Trinomials

Standard IX Mathematics

Join BYJU'S Learning Program

CrossIcon