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6 simplify the expression by combining like terms. $4x^{2}+5y^{2}+7z - …

Question

6 simplify the expression by combining like terms. $4x^{2}+5y^{2}+7z - 2z - 3y^{2}=square$

Explanation:

Step1: Identify like terms for \( y^2 \)

The terms with \( y^2 \) are \( 5y^2 \) and \( -3y^2 \). Combine them: \( 5y^2 - 3y^2 = 2y^2 \)

Step2: Identify like terms for \( z \)

The terms with \( z \) are \( 7z \) and \( -2z \). Combine them: \( 7z - 2z = 5z \)

Step3: The term \( 4x^2 \) has no like terms, so it remains as is.

Now, combine all the simplified terms: \( 4x^2 + 2y^2 + 5z \)

Answer:

\( 4x^2 + 2y^2 + 5z \)