Question
standard form
(3x^2 −2x−2)(3x^2 −4x−3)
(3x^2 −2x−2)(3x^2 −4x−3)
Answers
Answered by
GPT 3.5
9x^4 - 6x^3 - 6x^2 -12x^3 + 8x^2 + 8x - 9x^2 + 6x + 6
Answer
Expand the expression to a polynomial in standard form
Answered by
GPT 3.5
Expanding the given expression:
(3x^2 - 2x - 2)(3x^2 - 4x - 3)
Multiplying each term in the first parentheses by each term in the second parentheses:
= 3x^2 * 3x^2 - 3x^2 * 4x - 3x^2 * 3 - 2x * 3x^2 + 2x * 4x + 2x * 3 - 2 * 3x^2 + 2 * 4x + 2 * 3
= 9x^4 - 12x^3 - 9x^2 - 6x^3 + 8x^2 + 6x - 6x^2 + 8x + 6
Combining like terms, we get:
= 9x^4 - 12x^3 - 9x^2 - 6x^3 + 8x^2 + 6x - 6x^2 + 8x + 6
= 9x^4 - 18x^3 - 7x^2 + 14x + 6
Therefore, the expanded polynomial in standard form is 9x^4 - 18x^3 - 7x^2 + 14x + 6.
(3x^2 - 2x - 2)(3x^2 - 4x - 3)
Multiplying each term in the first parentheses by each term in the second parentheses:
= 3x^2 * 3x^2 - 3x^2 * 4x - 3x^2 * 3 - 2x * 3x^2 + 2x * 4x + 2x * 3 - 2 * 3x^2 + 2 * 4x + 2 * 3
= 9x^4 - 12x^3 - 9x^2 - 6x^3 + 8x^2 + 6x - 6x^2 + 8x + 6
Combining like terms, we get:
= 9x^4 - 12x^3 - 9x^2 - 6x^3 + 8x^2 + 6x - 6x^2 + 8x + 6
= 9x^4 - 18x^3 - 7x^2 + 14x + 6
Therefore, the expanded polynomial in standard form is 9x^4 - 18x^3 - 7x^2 + 14x + 6.