Question

Subtract   4p^2q – 3pq + 5pq^2 – 8p + 7q – 10 from 18 – 3p – 11q + 5pq – 2pq^2 + 5p^2q​

Answer 1

Answer:

= 28 + 5p - 18q + 8pq - $7pq^{2}$ + $p^{2q}$

Step-by-step explanation:

$4p^{2q}$ - 3pq + $5pq^{2}$ - 8p + 7q - 10 from 18 - 3p - 11q + 5pq - $2pq^{2}$ + $5p^{2q}$

Equation formed:

(18 - 3p - 11q + 5pq - $2pq^{2}$ + $5p^{2q}$) - ($4p^{2q}$ - 3pq + $5pq^{2}$ - 8p + 7q - 10)

sign will change from + to - or vise versa of the second term ($4p^{2q}$ - 3pq + $5pq^{2}$ - 8p + 7q - 10)

= 18 - 3p - 11q + 5pq - $2pq^{2}$ + $5p^{2q}$ - $4p^{2q}$ + 3pq - $5pq^{2}$ + 8p - 7q + 10

take like terms with sign

= 18 + 10 - 3p + 8p - 11q - 7q + 5pq + 3pq - $2pq^{2}$ - $5pq^{2}$ + $5p^{2q}$ - $4p^{2q}$

= 28 + 5p - 18q + 8pq - $7pq^{2}$ + $p^{2q}$