Which among the following expression on simplification gives a binomial?

4 x + 6 y - 3 x + 5 y + 7 z

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

5 x (8 z - 9 y)

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

2 x + 3 y - 4 x - 3 y

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

7 x (2 a + 3 b + 4 c)

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

Open in App

Solution

The correct option is B $5 x (8 z - 9 y)$
In option (a.), we have $4 x + 6 y - 3 x + 5 y + 7 z$
Combining the like terms:
$4 x + 6 y - 3 x + 5 y + 7 z$
$= (4 x - 3 x) + (6 y + 5 y) + 7 z$
$= x + 11 y + 7 z$

$x + 11 y + 7 z$ cannot be simplified further as it contains all the unlike terms in it.
The simplified form of $4 x + 6 y - 3 x + 5 y + 7 z$ is $x + 11 y + 7 z$ , i.e. a trinomial.

In option (b.), we have $5 x (8 z - 9 y)$
Simplifying the product:
$5 x (8 z - 9 y) = (5 x \times 8 z) - (5 x \times 9 y)$
$= 40 x z - 45 x y$

$40 x z - 45 x y$ cannot be simplified further as it contains all the unlike terms in it.
The simplified form of $5 x (8 z - 9 y)$ is $40 x z - 45 x y$ , i.e. a binomial.

In option (c.), we have $2 x + 3 y - 4 x - 3 y$
Combining the like terms:
$2 x + 3 y - 4 x - 3 y$
$= (2 x - 4 x) + (3 y - 3 y)$
$= - 2 x + 0$
$= - 2 x$

The simplified form of $2 x + 3 y - 4 x - 3 y$ is $- 2 x$ , i.e. a monomial.

In option (d.), we have $7 x (2 a + 3 b + 4 c)$
Simplifying the product:
$7 x (2 a + 3 b + 4 c)$
$= (7 x \times 2 a) + (7 x \times 3 b) + (7 x \times 4 c)$
$= 14 a x + 21 b x + 28 c x$

$14 a x + 21 b x + 28 c x$ cannot be simplified further as it contains all the unlike terms in it.
The simplified form of $7 x (2 a + 3 b + 4 c)$ is $14 a x + 21 b x + 28 c x$ , i.e. a trinomial.

Therefore, option (b.) is the correct answer.

Suggest Corrections