(2x+3y)⁴
1) let 2x = a and 3y = b
(a+b)⁴ = a⁴ + a³b + a²b² + ab³ + b⁴
Now let's find the coefficient of each factor using Pascal Triangle
0 | 1
1 | 1 1
2 | 1 2 1
3 | 1 3 3 1
4 | 1 4 6 4 1
0,1,2,3,4,.. represent the exponents of binomials
Since our binomial has a 4th exponents, the coefficients are respectively:
(1)a⁴ + (4)a³b + (6)a²b² + (4)ab³ + (1)b⁴
Now replace a and b by their real values in (1):
2⁴x⁴ +(4)8x³(3y) + (6)(2²x²)(3²y²) + (4)(2x)(3³y³) + (1)(3⁴)(y⁴)
16x⁴ + 96x³y + 216x²y² + 216xy³ + 81y⁴
Answer:
where the point B lie ,first say point B where lie
<h2>
Answer:</h2><h2>
volume of the cylinder = 2π
</h2>
Step-by-step explanation:
The height of a cylinder is twice the radius of its base.
Let the height of the cylinder = 2x
Let the radius of the cylinder = x
By formula, volume of the cylinder = π
h
here r = x, h = 2x
substituting the values in the equation, we get
volume of the cylinder = π h = π 
(2x)
volume of the cylinder = 2π
Answer:
There's two ways to solve this.
Step-by-step explanation:
First way:
Let's divide the width and length by 2.3.
46÷2.3=20
69÷2.3=30
20×30
600 ft²
Second Way:
Let's find the area of the actual room.
46×69
3,174 ft²
Let's find the scale drawing squared.
2.3²=5.29
3,174÷5.29
600 ft²
