Difference between $2 x (5 x - y)$ and $3 x (x + 2 y)$ is $- 7 x^{2} + 8 x y$

True

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False

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Solution

The correct option is A True
We find the subtraction of the given polynomials $2 x (5 x - y), 3 x (x + 2 y)$ by combining the like terms as shown below:

$3 x (x + 2 y) - 2 x (5 x - y) = 3 x^{2} + 6 x y - 10 x^{2} + 2 x y = (3 x^{2} - 10 x^{2}) + (6 x y + 2 x y) = x^{2} (3 - 10) + x y (6 + 2) = - 7 x^{2} + 8 x y$

Hence, $3 x (x + 2 y) - 2 x (5 x - y) = - 7 x^{2} + 8 x y$ .

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