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Simplify six multiplied by five 𝑧 squared plus two minus two multiplied by 𝑧 minus four.
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In order to simplify this expression, we are going to expand or multiply out the parentheses using the distributive property.
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Six multiplied by five 𝑧 squared is equal to 30 𝑧 squared.
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Six multiplied by two is 12.
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Expanding the second bracket or parenthesis gives us negative two 𝑧 plus eight as negative two multiplied by 𝑧 is negative two 𝑧 and negative two multiplied by negative four is positive eight.
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Grouping the like terms, positive 12 plus eight gives us positive 20.
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This means that the simplified version of six multiplied by five 𝑧 squared plus two minus two multiplied by 𝑧 minus four is 30 𝑧 squared minus two 𝑧 plus 20.