Pergunta
Find the expression that is equivalent to 3x^2+2x-5x-2x^2+2 11 point) A (x+2)(x-2) B (3x+2)(x+1) c (x+1)(x+2) D (x-2)(x-1) A B C D
Solução
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SantiagoEspecialista · Tutor por 3 anos
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To find the expression that is equivalent to $3x^{2}+2x-5x-2x^{2}+2$, we need to simplify the expression first.<br /><br />Step 1: Combine like terms.<br />$3x^{2}+2x-5x-2x^{2}+2$<br />$= (3x^{2}-2x^{2})+(2x-5x)+2$<br />$= x^{2}-3x+2$<br /><br />Step 2: Factor the simplified expression.<br />$x^{2}-3x+2$<br />$= (x-1)(x-2)$<br /><br />Therefore, the expression that is equivalent to $3x^{2}+2x-5x-2x^{2}+2$ is $(x-1)(x-2)$.<br /><br />So, the correct answer is D.
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