It is: 4(x+y+z)
Not sure what you mean by "zero element". If an expression is equal to zero, and you can factor it, then at least one of the factors must be zero; this is often useful to solve an equation.
sin2csc2-sin2 (using the fact that the sin is the reciprocal of csc) = 1-sin2
Using logarithms. In economics, we most commonly use the the base e, which is known as ln. For example5^x = 15, apply ln[.] to both sidesln[5^x] = ln[15]and since logarithms have the property of turning exponents into coefficientsxln5 = ln15x = ln15/ln5x = 1.6826
When finding an antiderivative, substitution can be very helpful. In your integral expression, look for a term that, if you took the derivative and perhaps manipulated it a bit, would give you another term in the same equation. For example, if your integral is ∫tanxdx or ∫((sinx)/(cosx))dx , you can choose cosx as your arbitrary variable (often u or w). If u=cosx, du=-sinxdx. Therefore, your expression using u becomes -∫du/u. We know that the antiderivative of 1/u is ln (absolute value x) +C. So, our answer with u is -ln (abs. val. u) +C. But BE CAREFUL, this is not your final answer. You must plug in the value you originally designated as u. Therefore, the final answer is -ln (abs. val. cosx) +C, with C as an arbitrary constant.
It allows you to compare two floating point values using integer hardware.
An expression equal to 15 + 35, using distributive property, is 5(3 + 7). Under distributive property, 5*3=15 and 5*7=35.
the distributive property is only used when simplifying expressions or solving an equation: to write an expression just translate the question into symbols and letters - you don't need to use the distributive property or any other property for that
4y
The property used to rewrite 9x2 + 9x3 is the Distributive Property. Using the Distributive Property the expression can be rewritten as 9x2 + 9x2 + 9x2 or 27x2.
112
(21 x 2) + (25 x 2) = 46 x 2 = 92
It cannot be, unless you use extremely complicated fractions.
2f + 10 in distributive property
In the most general sense, "simplify" means to replace an expression with an equivalent expression that is simpler. For example, 2x + 3x can be simplified as 5x (using the distributive property); x5x7 can be simplified as x12 (you may add exponents if the base is the same), etc.
None whatsoever. You might find the distributive property useful when trying to calculate 39*74. Of course, if you are familiar with the 39 times table or the 74 times table, the distributive property is a complete waste of time! But somehow I doubt that level of arithmetic competence.
(8.10) (8.9)
(510)+(55)