Problem

Simplify the given algebraic expression.
\[
3 x^{2}-7 x^{2}
\]
\[
3 x^{2}-7 x^{2}=
\]

Answer

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Answer

So, the simplified form of the given algebraic expression is \(\boxed{-4x^{2}}\).

Steps

Step 1 :The given algebraic expression is \(3 x^{2}-7 x^{2}\).

Step 2 :This is a subtraction of two terms with the same variable part, i.e., \(x^{2}\).

Step 3 :In such cases, we can simply subtract the coefficients of the like terms to simplify the expression.

Step 4 :The coefficient of the first term is 3 and the coefficient of the second term is 7.

Step 5 :Subtracting the coefficients, we get -4.

Step 6 :So, the simplified form of the given algebraic expression is \(\boxed{-4x^{2}}\).

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