Yes. 4x means 4 multiplied by x. x4 means x multiplied by x multiplied by x multiplied by x.
X4.
4x to the sixth can be expanded to (4x * 4x * 4x)(4x * 4x * 4x) or (4x to the third)(4x to the third) the square root of the above would be 4x to the third
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3x
4X-3
X4.
Yes, -4x is a polynomial. A polynomial is an expression that consists of variables raised to non-negative integer powers, multiplied by coefficients. In this case, -4 is the coefficient and x is the variable raised to the first power, which meets the criteria for a polynomial. Thus, -4x is a linear polynomial.
The expressions ( y^{2x} ) and ( y^{4x-5} ) represent exponential functions where the base is ( y ) raised to different powers involving the variable ( x ). Specifically, ( y^{2x} ) indicates ( y ) is raised to the power of ( 2x ), while ( y^{4x-5} ) indicates ( y ) is raised to the power of ( 4x - 5 ). These functions can be analyzed for their growth or decay behavior based on the value of ( y ) and the variable ( x ).
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4x to the 3rd power -4x to the 2nd power -43 when x=3
4x to the sixth can be expanded to (4x * 4x * 4x)(4x * 4x * 4x) or (4x to the third)(4x to the third) the square root of the above would be 4x to the third
An algebraic expression doesn't have an equal sign (e.g. 4x+7) whereas an algebraic equation does (e.g. 4x+7=19). 4x=19-7 4x=12 x=12/4 x=3
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Remember both 16 & 25 are squared numbers. 16 = 4^2 & 25 = 5^2 Hence we can write (4x)^2 - (5y)^2 Remember two squared terms with a NEGATIVE Between them will factor. ( 4x - 5y)(4x + 5y) Note the difference signs. NNB Two squared terms with a positive (+) between them DOES NOT factor.
There is a formula for the "difference of squares." In this case, the answer is (4x + 3)(4x - 3)
In the expression (4x^3 - 7x^2 \times x^3), the like terms are those that have the same variable raised to the same power. Here, (4x^3) and (-7x^2 \times x^3) can be simplified to (-7x^5). Thus, the like term in this case is (4x^3) and (-7x^5), but they are not like terms since they are raised to different powers. Therefore, there are no like terms in the expression.
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