Question

simplify (2p+q)(p-2q+3r)-(p-3q)(-3p+q-2r) ​

Answer 1

Answer:

Step-by-step explanation:

(2p+q)(p-2q+3r)-(p-3q)(-3p+q-2r)

(2p²-4pq+6pr+pq-2q²+3qr)-(-3p²+pq -2pr+9pq-3q²+6qr

2p²-2q²-3pq+6pr+3qr+3p²-10pq+2pr-6qr+3q²

5p²+q²-13pq+8pr+9qr

HOPE THIS IS TRUE AND HELPFUL TO YOU

Answer 2

Answer:

The correct answer is 5p²+q²-13pq+8pr+9qr

Step-by-step explanation:

Given: (2p+q)(p-2q+3r)-(p-3q)(-3p+q-2r)

To find: simplify the given equations

=(2p+q)(p-2q+3r)-(p-3q)(-3p+q-2r)

Multiply the first two brackets, and the second two brackets

After that, we get

=(2p²-4pq+6pr+pq-2q²+3qr)-(-3p²+pq -2pr+9pq-3q²+6qr)

Now open the bracket after subtraction sign, and change th signs

=2p²-2q²-3pq+6pr+3qr+3p²-10pq+2pr-6qr+3q²

=5p²+q²-13pq+8pr+9qr

the finaL answer is 5p²+q²-13pq+8pr+9qr