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When you multiply variables together, the coefficients of those variables are multiplied as well. For example, if you have two variables (a) and (b) with coefficients (c) and (d), respectively, multiplying them results in a new expression with a coefficient of (cd) for the product (ab). Therefore, the overall coefficient of the resulting term is the product of the original coefficients.
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What happens to coefficients when you multiply variables?
When you multiply variables, the coefficients of those variables are also multiplied together. For example, if you have two terms, (a \cdot x) and (b \cdot y), and you multiply them, the resulting expression will be (a \cdot b \cdot (x \cdot y)). Thus, the coefficient of the resulting term is the product of the original coefficients.
What is 6c x 6e?
To multiply the expressions (6c) and (6e), you multiply the coefficients and the variables separately. The coefficients (6) and (6) multiply to give (36), and the variables (c) and (e) combine to give (ce). Therefore, (6c \times 6e = 36ce).
What is 4x times -2y?
To multiply (4x) by (-2y), you multiply the coefficients and the variables separately. The coefficients (4) and (-2) multiply to give (-8), while the variables (x) and (y) combine to form (xy). Therefore, the product of (4x) and (-2y) is (-8xy).
What is 8x 2x simplified?
To simplify (8x \cdot 2x), you multiply the coefficients and the variables separately. First, multiply the coefficients: (8 \times 2 = 16). Then, multiply the variables: (x \cdot x = x^2). Therefore, the simplified expression is (16x^2).
What is 3a times 2a?
To multiply (3a) by (2a), you multiply the coefficients (3 and 2) and the variables (a and a) separately. This gives you (3 \times 2 = 6) for the coefficients and (a \times a = a^2) for the variables. Therefore, (3a \times 2a = 6a^2).
What happens to coefficients when you multiply variables?
When you multiply variables, the coefficients of those variables are also multiplied together. For example, if you have two terms, (a \cdot x) and (b \cdot y), and you multiply them, the resulting expression will be (a \cdot b \cdot (x \cdot y)). Thus, the coefficient of the resulting term is the product of the original coefficients.
What is 6c x 6e?
To multiply the expressions (6c) and (6e), you multiply the coefficients and the variables separately. The coefficients (6) and (6) multiply to give (36), and the variables (c) and (e) combine to give (ce). Therefore, (6c \times 6e = 36ce).
What is9c x 9e?
To multiply 9c by 9e, you multiply the coefficients (9 and 9) and then multiply the variables (c and e). This results in ( 81 ) for the coefficients and ( ce ) for the variables. Therefore, ( 9c \times 9e = 81ce ).
What is 4x times -2y?
To multiply (4x) by (-2y), you multiply the coefficients and the variables separately. The coefficients (4) and (-2) multiply to give (-8), while the variables (x) and (y) combine to form (xy). Therefore, the product of (4x) and (-2y) is (-8xy).
What is 8wx x 3w?
To multiply the expressions (8wx) and (3w), you multiply the coefficients and the variables separately. The coefficients (8) and (3) multiply to give (24), and combining the variables (wx) and (w) results in (w^2x). Therefore, the final result is (24w^2x).
What is 8x 2x simplified?
To simplify (8x \cdot 2x), you multiply the coefficients and the variables separately. First, multiply the coefficients: (8 \times 2 = 16). Then, multiply the variables: (x \cdot x = x^2). Therefore, the simplified expression is (16x^2).
What is 3a times 2a?
To multiply (3a) by (2a), you multiply the coefficients (3 and 2) and the variables (a and a) separately. This gives you (3 \times 2 = 6) for the coefficients and (a \times a = a^2) for the variables. Therefore, (3a \times 2a = 6a^2).
What is 8c times 5e?
To multiply the expressions (8c) and (5e), you simply multiply the coefficients and the variables separately. This results in (8 \times 5 = 40) for the coefficients, and the variables (c) and (e) remain as they are. Therefore, (8c \times 5e = 40ce).
What do coefficients stand for?
Coefficients don't 'stand' for anything. They are numbers which multiply variables. For instance, in the expression 3 x + 2, three is the coefficient of x.
What does 9c x 9e equal?
To find the product of 9c and 9e, you multiply the coefficients and the variables separately. The coefficients (9 and 9) multiply to give 81, and the variables (c and e) combine to give ce. Therefore, 9c x 9e equals 81ce.
What is 6ab x 3a?
To multiply the expressions (6ab) and (3a), you multiply the coefficients and then the variables. The coefficients (6) and (3) multiply to give (18). The variable parts (ab) and (a) combine to give (a^2b). Therefore, the result is (18a^2b).
What is 2a times 3a times 4?
To find the product of (2a), (3a), and (4), you multiply the coefficients and the variables together. First, multiply the coefficients: (2 \times 3 \times 4 = 24). Then, combine the variables: (a \times a = a^2). Therefore, the result is (24a^2).
