CameraIcon

SearchIcon

MyQuestionIcon

1

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

Algebraic Identity 1

What is the c...

Question

What is the coefficient of $x^{3}$ in (x-3) $(x + 2)^{2}$ ?

A

3

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

B

1

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

C

3

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

D

4

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

Open in App

Solution

The correct option is B
1

We use the identity $(a + b)^{2}$ = $a^{2}$ + $b^{2}$ + 2ab to expand the second term.

(x-3)( $x + 2)^{2}$ = (x-3) $(x^{2} + 4 + 4 x)$

= $x^{3} + 4 x + 4 x^{2} - 3 x^{2} - 12 - 12 x$

= $x^{3} - 8 x + x^{2} - 12$

The coefficient of $x^{3}$ in (x-3) $(x + 2)^{2}$ is 1

Suggest Corrections

thumbs-up

0

Similar questions

What is the coefficient of $x^{3}$ in $(x - 3) (x + 2)^{2}$ ?

What is the coefficient of x in x³ + 3x² – 2x - 1

Q. What is the coefficient of

x^{3}

x^{3} + 2 x + 1

Q. What is the coefficient of

x^{3}

2 - x^{3} + x^{2}

| \begin{matrix} x \end{matrix} | < 1

then the coefficient of

x^{3}

in the expansion of

\frac{3 x}{(x - 2) (x + 1)}

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Introduction to Factorisation

MATHEMATICS

Watch in App

explore_more_icon

Explore more

Algebraic Identity 1

Standard IX Mathematics

Join BYJU'S Learning Program

CrossIcon