Question

(a) What should be added to 2x2 + xy - 7y2
to get 8x2 + 8xy?​

Answer 1

Answer:

$6x {}^{2} + 7xy + 7y {}^{2}$

Answer 2

Given:

Two expressions -

• 2x² + xy - 7y²
• 8x² + 8xy

What To Find:

We have to find

• The expression that should be added to 2x² + xy - 7y² to get the results 8x² + 8xy.

How To Find:

To find it, we have to,

• First, we have to subtract the expression 8x² + 8xy to 2x² + xy - 7y².
• Next, solve the expressions.
• Then, we will get our answer i.e the expression.

Solution:

(8x² + 8xy) - (2x² + xy - 7y²)

Remove the brackets,

⇒ 8x² + 8xy - 2x² - xy + 7y²

Rearrange the like terms,

⇒ 8x² - 2x² + 7y² + 8xy - xy

Here the like terms are,

• 1st term - 8x² - 2x²
• 2nd term - 7y²
• 3rd term - 8xy - xy

Solve the first like term,

⇒ 6x² + 7y² + 8xy - xy

Solve the second like term,

⇒ 6x² + 7y² + 8xy - xy

Solve the third like term,

⇒ 6x² + 7y² + 7xy

Final Answer:

∴ Hence, the expression is 6x² + 7y² + 7xy.