Answer:
Step-by-step explanation:
1st expression: x⁴-y⁴
= (x²)² - (y²)²
= (x² +y²)(x² -y²)
= (x² +y²)(x +y)(x -y)
= (x +y)(x -y)(x² +y²)
2nd expression: x² -y²
= (x +y)(x -y)
3rd expression: x³ -y³
= (x -y)(x² +xy +y²)
Now ,
Lowest Common Multiples (L.C.M.) = common factors * rest factors
= (x+y)(x-y) * (x² +y²)(x² +xy +y²)
= (x² -y²)(x²+y²) * (x² +xy +y²)
= (x⁴ -y⁴)(x² +xy +y²)
Answer:
The solutions are


Step-by-step explanation:
we have

Group terms that contain the same variable, and move the constant to the opposite side of the equation

Factor the leading coefficient

Complete the square. Remember to balance the equation by adding the same constants to each side


Rewrite as perfect squares


square root both sides




Gradient=rise/run=y2-y1/x2-x1
= 7-3(4)/-4--4(0)
As you can't divide by zero the line's equation is x=-4 so it doesn't have a gradient as such. However, a parallel line would be the y-axis
Answer:
xy (less than or equal to sign) 4
Answer:
(15squrt3)/2
Step-by-step explanation:
cos30=x/15