Simplify Please:
1: (-12xy2z)(3xy)
2: -12xy2z divided by 3xy
3: 2x(2x - 5)
4: -2x(2x-5)
Sure! Here's how to simplify each expression:
1: To simplify the expression (-12xy^2z)(3xy), you can multiply the coefficients and the variables separately.
First, multiply the coefficients: (-12) * (3) = -36.
Next, multiply the variables with the same base (x) by adding their exponents: x^(1+1) = x^2.
Multiply the variables with the same base (y) by adding their exponents: y^(2+1) = y^3.
Finally, multiply the variable with the base (z) as it is: z^1 = z.
Therefore, the simplified expression is -36x^2y^3z.
2: To simplify the expression -12xy^2z divided by 3xy, you can cancel out the common factors between the numerator and the denominator.
Cancel out the common factor (xy) from the numerator and denominator leaves you with: -12y^2z / 3.
Next, divide -12 by 3: -12 / 3 = -4.
Therefore, the simplified expression is -4y^2z.
3: To simplify the expression 2x(2x - 5), you can distribute the 2x to both terms inside the parentheses.
First, multiply 2x by 2x: 2x * 2x = 4x^2.
Next, multiply 2x by -5: 2x * -5 = -10x.
Combine the two terms: 4x^2 - 10x.
Therefore, the simplified expression is 4x^2 - 10x.
4: To simplify the expression -2x(2x - 5), you can distribute the -2x to both terms inside the parentheses.
First, multiply -2x by 2x: -2x * 2x = -4x^2.
Next, multiply -2x by -5: -2x * -5 = 10x.
Combine the two terms: -4x^2 + 10x.
Therefore, the simplified expression is -4x^2 + 10x.
(-12xy^2z)(3xy)
= (-12*3)(x*x)(y^2*y)(z)
= -36 x^2 y^3 z
do the others in like wise...