How do you find the product of (2h+3)(2h^{2}+3h+4)?

assumingsun

assumingsun

Answered question

2022-02-09

How do you find the product of (2h+3)(2h2+3h+4)?

Answer & Explanation

totemicccn

totemicccn

Beginner2022-02-10Added 10 answers

Each term in the 2nd bracket must be multiplied by each term in the 1st bracket.
The following shows how this may be done.
(2h+3)(2h2+3h+4)
=2h(2h2+3h+4)+3(2h2+3h+4)
now distribute each pair of brackets.
=4h3+6h2+8h+6h2+9h+12
and collecting like terms gives.
=4h3+(6h2+6h2)+(8h+9h)+12
=4h3+12h2+17h+12 result of product
Bucharly9

Bucharly9

Beginner2022-02-11Added 11 answers

Explanation:
(2h+3)(2h2+3h+4)
using the distributive property
=2h(2h2+3h+4)+3(2h2+3h+4)
(no real change except color to see the separate terms more clearly)
=2h(2h2+3h+4)+3(2h2+3h+4)
expanding each term
=4h3+6h2+8h+6h2+9h+12
grouping equal powers of the variable
=4h3+(6h2+6h2)+(8h+9h)+(12)
Adding together equal powers of the variable
=4h3+12h2+17h+12

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