Whats 4a⁶b⁵c⁴ . - 7b⁷c⁶
Your solving the problem, not giving it a new expression
Apologies for the confusion. Let's solve the problem:
To multiply 5xy⁴z⁵ by 8x⁷z², we can multiply the coefficients and combine the variables with the same base raised to their respective exponents.
The coefficient 5 and 8 multiply to give 40.
The variable "x" has exponents of 1 and 7, so we can add the exponents together: 1 + 7 = 8. Therefore, the variable "x" has an exponent of 8 in the final expression.
The variable "y" has an exponent of 4.
The variable "z" has exponents of 5 and 2, so we can add the exponents together: 5 + 2 = 7. Therefore, the variable "z" has an exponent of 7 in the final expression.
Putting it all together, the product of 5xy⁴z⁵ and 8x⁷z² is: 40x⁸y⁴z⁷.
Multiply 2a²b (3b³+4b⁵)
To multiply 2a²b by (3b³+4b⁵), we need to apply the distributive property. This means we need to distribute 2a²b to each term inside the parentheses.
First, multiply 2a²b by 3b³:
2a²b * 3b³ = 6a²b * b³ = 6a²b⁴
Next, multiply 2a²b by 4b⁵:
2a²b * 4b⁵ = 8a²b * b⁵ = 8a²b⁶
Combining the two terms, the final expression is:
6a²b⁴ + 8a²b⁶
2x (x+2xy)
To multiply 2x by (x+2xy), we need to apply the distributive property. This means we need to distribute 2x to each term inside the parentheses.
First, multiply 2x by x:
2x * x = 2x²
Next, multiply 2x by 2xy:
2x * 2xy = 4x²y
Combining the two terms, the final expression is:
2x² + 4x²y
(2x-3) (x+4)
To multiply (2x-3) by (x+4), we need to apply the distributive property. This means we need to distribute each term of the first expression to each term of the second expression.
First, multiply 2x by x:
2x * x = 2x^2
Next, multiply 2x by 4:
2x * 4 = 8x
Then, multiply -3 by x:
-3 * x = -3x
Finally, multiply -3 by 4:
-3 * 4 = -12
Combining all these terms, the final expression is:
2x^2 + 8x - 3x - 12
Simplifying further:
2x^2 + 5x - 12
To multiply these two expressions, we need to multiply the coefficients (numbers) and combine the variables with the same base raised to their respective exponents.
The coefficient (-7) and the number (4) multiply to give -28.
The variable "a" has exponents of 6 and 0, so we can add the exponents together: 6 + 0 = 6. Therefore, the variable "a" has an exponent of 6 in the final expression.
The variable "b" has exponents of 5 and 7, so we can subtract the smaller exponent from the larger: 7 - 5 = 2. Therefore, the variable "b" has an exponent of 2 in the final expression.
The variable "c" has exponents of 4 and 6, so we can subtract the smaller exponent from the larger: 6 - 4 = 2. Therefore, the variable "c" has an exponent of 2 in the final expression.
Combining all these results, the final expression is: -28a⁶b²c².