Question 75209
{{{(5x^2-7x+2)-(3x^2-4x-7)}}}
{{{5x^2-7x+2-3x^2+4x+7}}}Distribute the negative
{{{5x^2-3x^2-7x+4x+7+2}}}Group like terms
{{{2x^2-3x+9}}}Add and subtract like terms. There's your answer. The previous person who answered this must have read this wrong. The answer is not {{{x+9}}}. You can always graph these or select an x value to see if the answer is correct.
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Let x=2
{{{(5(2)^2-7(2)+2)-(3(2)^2-4(2)-7)}}}
{{{(20-14+2)-(12-8-7)}}}
{{{(8)-(-3)}}}
{{{8+3=11}}}Compare this answer to our previous answer with x=2

{{{2(2)^2-3(2)+9}}}Plug in x=2
{{{8-6+9=11}}}Works
This shows us that the answer is correct