1

Problem

Multiplying polynomials expression: (2x + 5y)(6x +10y - 2y).

2

Step

The polynomial expression is

(2x + 5y) (6x +10y - 2y)

3

Step

First, distribute each term of the first polynomial by each term of the second polynomial:

\$2x(6x + 10y − 2y) + 5y(6x + 10y − 2y)\$

4

Step

Make it simplify the expression

\$12x^2 + 20xy - 4xy + 30xy + 50y^2 - 10y^2\$

5

Step

Add and subtract common variables \$x^2 , xy , y^2\$

\$12x^2 + 46xy + 40y^2\$

6

Solution

So, the product of the polynomials (2x + 5y)and (6x + 10y − 2y) is \$12x^2 + 46xy + 40y^2\$.

7

Sumup

Please Summarize Problem, Hint, Clue, Formula and Steps

Choices

8

Choice-A

The expression is incorrect; it should feature a positive sign preceding "46xy", as in the accurate version

Wrong \$12x^2 - 46xy + 40y^2\$

9

Choice-B

The expression is inaccurate due to a negative sign before \$40y^2\$; it should have a positive sign for the \$40y^2\$ term

Wrong \$12x^2 + 46xy - 40y^2\$

10

Choice-C

Option C is incorrect due to opposing signs in the second and third terms compared to the correct STEP

Wrong \$12x^2 - 46xy - 40y^2\$

11

Choice-D

This choice is accurate, the calculation has been accurately performed

Correct \$12x^2 + 46xy + 40y^2\$

12

Step

Option

D

13

Sumup

Please Summarize Choices