MyQuestionIcon

1

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

Multiplication of Monomials

Simplify:[5z ...

Question

Simplify:
$[{(5 z - 2)}^{2} + 40 z] \div (5 z + 2)$

A

$2 z + 5$

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

B

$2 z - 5$

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

C

$5 z - 2$

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

D

$5 z + 2$

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

Open in App

Solution

The correct option is D
$5 z + 2$

To simplify :
$[{(5 z - 2)}^{2} + 40 z] \div (5 z + 2)$

Using the identity,
$a^{2} - 2 a b + b^{2} = {(a - b)}^{2}$ ,
$[{(5 z - 2)}^{2} + 40 z]$
$= [25 z^{2} - 20 z + 4 + 40 z]$
$= [25 z^{2} + 20 z + 4]$

On factorizing,
$25 z^{2} + 20 z + 4$ ,
we get,
$25 z^{2} + 20 z + 4$
$= {(5 z)}^{2} + 2 \times (5 z) \times 2 + 2^{2}$

On applying the identity, $a^{2} + 2 a b + b^{2} = {(a + b)}^{2}$ ,
we get ,
$25 z^{2} + 20 z + 4 = {(5 z + 2)}^{2}$

So,
$[\frac{({(5 z - 2)}^{2} + 40 z)}{(5 z + 2)}] = \frac{{(5 z + 2)}^{2}}{(5 z + 2)} = 5 z + 2$

Suggest Corrections

thumbs-up

0

Similar questions

\frac{({(5 z - 2)}^{2} + 40 z)}{(5 z + 2)}

$[{(5 z - 2)}^{2} + 40 z] \div (5 z + 2)$

Solve:
$[{(5 z - 2)}^{2} + 40 z] \div (5 z + 2)$

$\frac{{{(5 z - 2)}^{2} + 40 z}}{(5 z + 2)} =$

^{2}

\div

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Multiplication of Algebraic Expressions

MATHEMATICS

Watch in App

explore_more_icon

Explore more

Multiplication of Monomials

Standard VIII Mathematics

Join BYJU'S Learning Program

CrossIcon