First one:
(3x^2+5y^2)^3
Step 1: Use the binomial theorem to expand
(3x^2)+3(3x^2)^2(5y^2)+3(3x^2)(5y^2)2+(5y^2)^3
Step 2: Simplify each term
27(x^2)^3+3(3x^2)^2(5y^2)+3(3x^2)(5y^2)^2+(5y^2)^3
Step 3: Multiply the exponents
27x^6+27x^4(5y^2)+3(3x^2)(5y^2)^2+(5y^2)^3
27x^5+135x^4y^2+3(3x^2)(5y^2)^2+(5y^2)^3
Keep going to get the final answer:
27x^6+135x^4y^2+225x^2y^4+125y^6
2nd question: (2y^3-5x)^2
Do the same thing...step by step
Answer: 4y^6-20xy^3+25x^2
All you do is do 20 x 24 x 30. You get 600 X 24 which is 14,400, or C.
Answer:
In this equation X is independent variable while Y is dependent variable.
Step-by-step explanation:
Equation:
Y=10x+100
Independent variable in math:
A variable in an equation that may have its value freely chosen without considering values of any other variable.
Dependent variable in math:
A dependent variable is a variable in an expression, equation, or function that has its value determined by the choice of value of other variable.
<u>According to above definitions Y is dependent of x. As we changes the value of x the value of Y changes.</u>
For example if x = 1, Y will be 110.
And if x = 10, Y will be 200.
Answer:
maybe "non-included"?
Step-by-step explanation:
