Distribute 3x2: Distribute the term 3x2 to each term inside the parentheses.We have the expression 3x2(−2x2−10x−9). To distribute, we multiply 3x2 by each term inside the parentheses separately.
Multiply −2x2: Multiply 3x2 by −2x2. Using the distributive property, we get 3x2×−2x2=−6x(2+2)=−6x4 (since when we multiply like bases, we add the exponents).
Multiply −10x: Multiply 3x2 by −10x. Again using the distributive property, we get 3x2×−10x=−30x2+1=−30x3 (since when we multiply like bases, we add the exponents).
Multiply −9: Multiply 3x2 by −9. Using the distributive property, we get 3x2×−9=−27x2.
Combine final expression: Combine the results from steps 2, 3, and 4 to get the final expression.The final expression is −6x4−30x3−27x2.
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