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1 vote
What is the product of a+3 and -2a²+15a+6b2?

O-2a3+9a²+45a+2462
O -2a²+21a2+45a+2462
O -2a²+9a²+45a+6ab2+18b2
O-2a3+21a²+45a+6ab2+1862

User Hosam Aly
by
5.8k points

1 Answer

2 votes

Answer:

-2a²+9a²+45a+6ab²+18b²

Explanation:

The distributive property is useful for sorting this out.

(a +3)(-2a² +15a +6b²)

= a(-2a² +15a +6b²) +3(-2a² +15a +6b²)

= -2a³ +15a² +6ab² -6a² +45a +18b²

Only the a² terms can be combined, so the product is ...

= -2a³ +9a² +45a +6ab² +18b² . . . . . matches the 3rd choice here

User Sarathlal N
by
6.3k points