I'm struggling with these! Please help! :)
Simplify:
1: (-12xy2z)(3xy)
2: -12xy2z divided by 3xy
3: 2x(2x - 5)
4: -2x(2x-5)
I'd be happy to help you with these simplification problems! Let's break down each problem one by one:
1: (-12xy^2z)(3xy)
To simplify this expression, you need to multiply the coefficients (numbers) together and the variables together separately.
-12 * 3 = -36 (multiply the coefficients)
x * x = x^2 (combine the x's)
y^2 * y = y^(2+1) = y^3 (add the exponents)
z * no z = z (since there is no z in the second term)
Therefore, the simplified expression is -36x^2y^3z.
2: -12xy^2z divided by 3xy
To simplify this expression, you need to divide the coefficients and subtract the exponents of the variables.
-12 / 3 = -4 (divide the coefficients)
x / x = 1 (when dividing variables with the same base, subtract the exponents: x^1/x^1 = x^(1-1) = x^0 = 1)
y^2 / y = y^(2-1) = y^1 = y (subtract the exponents)
Therefore, the simplified expression is -4y.
3: 2x(2x - 5)
To simplify this expression, you need to distribute the 2x to each term inside the parentheses.
2x * 2x = 4x^2
2x * -5 = -10x
Therefore, the simplified expression is 4x^2 - 10x.
4: -2x(2x-5)
To simplify this expression, you again need to distribute the -2x to each term inside the parentheses.
-2x * 2x = -4x^2
-2x * -5 = 10x
Therefore, the simplified expression is -4x^2 + 10x.
I hope this helps! Let me know if you have any further questions.