Given expression: We are given the expression 7z2+3z2. To simplify this expression, we need to combine like terms. The like terms here are 7z2 and 3z2, which both have the variable z raised to the power of 2.
Combining like terms: To combine the like terms, we add the coefficients (the numbers in front of the variables) together. The coefficients are 7 and 3.7z2+3z2=(7+3)z2
Performing addition: Now we perform the addition of the coefficients. 7+3z^2 = 10z^2
Simplified expression: The expression is now simplified to 10z2, which is the sum of the like terms.
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