How much is $4 x^{2} - 3 x + 5$ smaller than $7 + 5 x^{2} - 3 x ?$

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Solution

To measure how much is $4 x^{2} - 3 x + 5$ smaller than $7 + 5 x^{2} - 3 x$ we are to subtract $4 x^{2} - 3 x + 5$ from $7 + 5 x^{2} - 3 x$ . Then we get the required result.
And it is $(7 + 5 x^{2} - 3 x) -$ $(4 x^{2} - 3 x + 5) = x^{2} + 2.$

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