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Marysya12 [62]
3 years ago
15

Multiply and simplify. (3x+5)(2x2−3x+2) Enter your answer, in standard form, in the box.

Mathematics
2 answers:
Sveta_85 [38]3 years ago
7 0

Answer:

6x^3+x^2-9x+10

Step-by-step explanation:

We have the product, (3x+5)(2x^{2}-3x+2).

On simplifying the product, we get,

(3x+5)(2x^{2}-3x+2)

i.e. 6x^3-9x^2+6x+10x^2-15x+10

i.e. 6x^3+x^2-9x+10

Thus, the standard form of the product (3x+5)(2x^{2}-3x+2) is 6x^3+x^2-9x+10.

forsale [732]3 years ago
5 0

Answer:

6x³+x²-9x+10

Step-by-step explanation:

We have given a binomial and a trinomial .We have to find product of binomial and a triomial.

(3x+5)(2x²-3x+2)

Multiplying each term of binomial to trinomial,we get

3x(2x²-3x+2)+5(2x²-3x+2)

Multiplying each term of binomial to each term of trinomial,we get

3x(2x²)-3x(3x)+3x(2)+5(2x²)+5(-3x)+5(2)

6x³-9x²+6x+10x²-15x+10

Gather like terms

6x³-9x²+10x²+6x-15x+10

Adding the coffiecients of like terms

6x³+x²-9x+10 which is the answer.


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