Question

Expand and simplify (2x + 1)(x + 3)

Answer 1

expand and simplify (2x + 1)(x + 3)

answer :
`2x^2+7x+3`

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explanation : expand the polynomial using the FOIL method.

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FOIL : a technique for distributing two binomials. the letters FOIL stand for first, outer, inner, last. first means multiply the terms which occur first in each binomial, outer means multiply the outermost terms in the product, inner means multiply the innermost terms, and last means multiply the terms which occur last in each binomial.

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step 1 : multiply each term in the first parentheses by each term in the second parentheses (FOIL)

ex :
`2x * x+2x * 3+x+3`

step 2 : calculate the product

ex:
`2x^2+2x * 3+x+3`

step 3 : calculate the product

ex:
`2x^2+6x+x+3`

step 4 : collect like terms

ex:
`2x^2+7x+3`

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solution :
`2x^2+7x+3`

hope this helps !

- audrey ♡