## anonymous 5 years ago What is the product of 6x+3 and 2x^2-5? Show all work.

1. amistre64
2. anonymous

I dont see where it shows how to solve it or the answer.

3. amistre64

to solve it you simply multiply it together.....

4. anonymous

How do you do that?

5. amistre64

by applying the distributive property thru the problem

6. amistre64

8(6) = 48 (5+3)(2+4) = 48 (5+3)(2) + (5+3)(4) = 48 5(2) + 3(2) + 5(4) + 3(4) = 48 10 + 6 + 20 + 12 = 48 16 + 32 = 48 48 = 48 thats how we distribute....

7. anonymous

8. anonymous

no he was just giving you an example . you have to do 4 multiplications

9. anonymous

$(6x+3)(2x^2-5)$

10. anonymous

$6x\times 2x^2+6x\times -5+3\times 2x^2+3\times -5$

11. anonymous

4 multiplications . then of course you actually do the multiplications as in $6x\times 2x^2=12x^3$ $6x\times -5=-30x$ $3\times 2x^2=6x^2$ $3\times -5=-15$

12. anonymous

so your answer is $12x^3-30x+6x^2-15$