Question

(a) Find the product
-бxy , 8xy-9xy​

Answer 1

Given:

Three expressions:-

• -6xy
• 8xy
• -9xy

What To Find:

We have to find the product.

How To Find:

To find the product,

• Rearrange the like terms.
• Solve them one by one.

Solution:

-6xy × 8xy × - 9xy

Separate the expressions,

⇒ -6 × x × y × 8 × x × y × -9 × x × y

Rearrange the like terms,

⇒ (-6 × 8 × -9) × (x × x × x) × (y × y × y)

Solve the first like terms,

⇒ 432 × (x × x × x) × (y × y × y)

Solve the second like terms,

⇒ 432 × x³ × (y × y × y)

Solve the third like terms,

⇒ 432 × x³ × y³

Also written as,

⇒ 432x³y³

∴ Hence the product of the expressions is 432x³y³.

Answer 2

Given:

Three expressions:-

-6xy

8xy

-9xy

What To Find:

We have to find the product.

How To Find:

To find the product,

Rearrange the like terms.

Solve them one by one.

Solution:

-6xy × 8xy × - 9xy

Separate the expressions,

⇒ -6 × x × y × 8 × x × y × -9 × x × y

Rearrange the like terms,

⇒ (-6 × 8 × -9) × (x × x × x) × (y × y × y)

Solve the first like terms,

⇒ 432 × (x × x × x) × (y × y × y)

Solve the second like terms,

⇒ 432 × x³ × (y × y × y)

Solve the third like terms,

⇒ 432 × x³ × y³

Also written as,

⇒ 432x³y³

∴ Hence the product of the expressions is 432x³y³.