Answer:
The fill in the blanks are :
-a <u>3</u> b <u>2</u> c <u>2</u> - a <u>2</u> b <u>3</u> c <u>2</u> + a <u>2</u> b <u>2</u> c <u>3</u>
Step-by-step explanation:
The required product can be find out by using the Distributive law of multiplication over addition.
Now the given expression is : -a²b²c²·(a + b - c)
Distributing -a²b²c² over addition inside the bracket, We get,
= -a²b²c² × a - a²b²c² × b - a²b²c² × -c
= -a³b²c² - a²b³c² + a²b²c³ ( product of negative and negative is positive)
Therefore, the required product is :
-a²b²c²·(a + b - c) = -a³b²c² - a²b³c² + a²b²c³
Hence, the fill in the blanks are :
-a <u>3</u> b <u>2</u> c <u>2</u> - a <u>2</u> b <u>3</u> c <u>2</u> + a <u>2</u> b <u>2</u> c <u>3</u>