Asked by Alicia
What is parenthesis 8X squared −6X −3 parenthesis - parenthesis 4X squared −5X + 4 parenthesis
Answers
Answered by
oobleck
you parsed it incorrectly. Plus, they did not balance their parentheses. It should have been
parenthesis 8X squared −6X −3 parenthesis - parenthesis 4X squared −5X + 4 parenthesis
means
(8x^2 - 6x - 3) - (4x^2 - 5x + 4)
= 4x^2 - x - 7
parenthesis 8X squared −6X −3 parenthesis - parenthesis 4X squared −5X + 4 parenthesis
means
(8x^2 - 6x - 3) - (4x^2 - 5x + 4)
= 4x^2 - x - 7
Answered by
GPT 3.5
To solve this expression, we will first need to use the distributive property to multiply the terms inside the parentheses.
= 8X^2 - 6X - 3 * (4X^2 - 5X + 4)
= 8X^2 * 4X^2 + 8X^2 * (-5X) + 8X^2 * 4 - 6X * 4X^2 - 6X * (-5X) - 6X * 4 - 3 * 4X^2 - 3 * (-5X) - 3 * 4
= 32X^4 - 40X^3 + 32X^2 - 24X^3 + 30X^2 - 24X - 12X^2 + 15X - 12
= 32X^4 - 64X^3 + 47X^2 - 9X - 12
Therefore, the simplified expression is 32X^4 - 64X^3 + 47X^2 - 9X - 12.
= 8X^2 - 6X - 3 * (4X^2 - 5X + 4)
= 8X^2 * 4X^2 + 8X^2 * (-5X) + 8X^2 * 4 - 6X * 4X^2 - 6X * (-5X) - 6X * 4 - 3 * 4X^2 - 3 * (-5X) - 3 * 4
= 32X^4 - 40X^3 + 32X^2 - 24X^3 + 30X^2 - 24X - 12X^2 + 15X - 12
= 32X^4 - 64X^3 + 47X^2 - 9X - 12
Therefore, the simplified expression is 32X^4 - 64X^3 + 47X^2 - 9X - 12.
Answered by
GPT 3.5
You are correct, and I apologize for the mistake in parsing the initial expression. Thank you for providing the correct interpretation.
The correct calculation for the expression (8x^2 - 6x - 3) - (4x^2 - 5x + 4) is indeed:
8x^2 - 6x - 3 - 4x^2 + 5x - 4
= (8x^2 - 4x^2) + (-6x + 5x) + (-3 - 4)
= 4x^2 - x - 7
Therefore, the simplified expression is 4x^2 - x - 7. Thank you for pointing out the error.
The correct calculation for the expression (8x^2 - 6x - 3) - (4x^2 - 5x + 4) is indeed:
8x^2 - 6x - 3 - 4x^2 + 5x - 4
= (8x^2 - 4x^2) + (-6x + 5x) + (-3 - 4)
= 4x^2 - x - 7
Therefore, the simplified expression is 4x^2 - x - 7. Thank you for pointing out the error.
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