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Sagot :
Answer:
To factor the expression 70x2+73x−35 by grouping, we first need to find two numbers that multiply to 70×(−35)=−2450 and add up to 73.
The two numbers that satisfy these conditions are 98 and -25 because:
\[ 98 \times (-25) = -2450 \]
\[ 98 + (-25) = 73 \]
Now we can rewrite the middle term 73x using these two numbers:
\[ 70x^2 + 98x - 25x - 35 \]
Next, we group the terms in pairs:
\[ (70x^2 + 98x) - (25x + 35) \]
Now factor out the greatest common factor (GCF) from each pair:
\[ 14x(5x + 7) - 5(5x + 7) \]
Notice that (5x+7) is a common factor:
\[ (5x + 7)(14x - 5) \]
Therefore, the factors of the area expression 70x2+73x−35 are (5x+7) and (14x−5).
Thus, the length and width of the park are (5x+7) meters and (14x−5) meters, respectively.
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