I'll get you started...
(2n^2-7n+2)*(3n+1)
= (2n^2-7n+2)*3n + (2n^2-7n+2)*1
Now just expand each factor term by term, simplifying at the end.
multiply. give your answer in standard form. (2n^2-7n+2)*(3n+1)
3 answers
(2n^2-7n+2)*(3n+1)
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Here are the steps to multiply this expression using the distributive property:
1. Multiply the first term of the first expression (2n^2) by each term in the second expression (3n and 1), and write the products down:
2n^2 * 3n = 6n^3
2n^2 * 1 = 2n^2
2. Multiply the second term of the first expression (-7n) by each term in the second expression (3n and 1), and write the products down:
-7n * 3n = -21n^2
-7n * 1 = -7n
3. Multiply the third term of the first expression (2) by each term in the second expression (3n and 1), and write the products down:
2 * 3n = 6n
2 * 1 = 2
4. Add up all of the products from steps 1-3:
6n^3 - 21n^2 + 6n + 2n^2 - 7n + 2
5. Simplify the expression by combining like terms:
6n^3 - 19n^2 - n + 2
Therefore, the product of (2n^2-7n+2) and (3n+1) is 6n^3 - 19n^2 - n + 2.
1. Multiply the first term of the first expression (2n^2) by each term in the second expression (3n and 1), and write the products down:
2n^2 * 3n = 6n^3
2n^2 * 1 = 2n^2
2. Multiply the second term of the first expression (-7n) by each term in the second expression (3n and 1), and write the products down:
-7n * 3n = -21n^2
-7n * 1 = -7n
3. Multiply the third term of the first expression (2) by each term in the second expression (3n and 1), and write the products down:
2 * 3n = 6n
2 * 1 = 2
4. Add up all of the products from steps 1-3:
6n^3 - 21n^2 + 6n + 2n^2 - 7n + 2
5. Simplify the expression by combining like terms:
6n^3 - 19n^2 - n + 2
Therefore, the product of (2n^2-7n+2) and (3n+1) is 6n^3 - 19n^2 - n + 2.