Answer:
- (x² + 2y² + 2xy)(x² + 2y² - 2xy)
Step-by-step explanation:
<h3>Given binomial:</h3>
x⁴ + 4y⁴
In order to factorize it, follow the steps:
<h3>Complete the square:</h3>
- x⁴ + 4y⁴ =
- (x²)² + 2*(x²)*(2y²) + (2y²)² - 2*(x²)*(2y²) =
- (x² + 2y²)² - (2xy)² =
- (x² + 2y² + 2xy)(x² + 2y² - 2xy)
Used identities:
- (a + b)² = a² + 2ab + b²
- a² - b² = (a + b)(a - b)
Answer:
(8, 4)
Step-by-step explanation:
<em>AD is enlarged to JM</em>
<em>AD² = 2² + 1² = 4 + 1 =5</em>
<em>AD = √5</em>
then you plug in JM
<em>JM² = 6² + 3² = 36 + 9 = 45</em>
<em>JM = √45 = 3 √5</em>
<em>so if </em>
<em>JM=3 AD</em>
then
<em>ML= 3 DC </em>
<em>then you add</em>
<em>5+3=8</em>
the coordinates for point L are (8, 4)
7/12-9/8(2x-1)-5/6(3x+2)=0
(7*2-9(2x-1)*3-5(3x+2)*4)/24=0
(14-9(2x-1)*3-5(3x+2)*4)/24=0
(14-27(2x-1)-20(3x+2)/24=0
(14-54x+27-60x-40)/24=0
(14+(-54x-60x)+27-40)/24=0
(14-114x+27-40)/24
(-144x+1)/24=0
-114x+1=0
-114x=-1
x=1/144
