will give medal for explanation and answer thanks Subtract and simplify: (3x2 + 7) – (x2 – 6x + 4) A. 4x2 + 3 B. 2x2 + 6x + 3 C. 4x2 – 6x + 3 D. 2x2 + 6x + 11

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will give medal for explanation and answer thanks Subtract and simplify: (3x2 + 7) – (x2 – 6x + 4) A. 4x2 + 3 B. 2x2 + 6x + 3 C. 4x2 – 6x + 3 D. 2x2 + 6x + 11

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There's an invisible "-1" on the second polynomial, you can view it like this: \[(3x^2+7)+(-1)(x^2 -6x +4)\] And using the distributive property of arithmetics: \[3x^2+7-x^2+6x-4\] Now, I will do something I like to call, "agrupating the coefficients" which consists of, looking at the variables that are alike, for example, the x^2, and draw "common factor" between them, thus, agrupating the coefficients and making them easily operable: \[(3-1)x^2+6x +(7-4)\] And operating the parenthesis: \[2x^2+6x +3\]
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