Math help 2 questions?

8. Use the Binomial Theorem to expand the binomial.

(d – 4b)^3

9. What is the equation of y = x^3 with the given transformations?

vertical stretch by a factor of 3, horizontal shift 4 units to the right, vertical shift 3 units down

Answers :

(a + b) ⁿ
= (nC₀ aⁿ *b⁰) + (nC₁ aⁿ⁻¹ *b¹) + (nC₂ aⁿ⁻² *b²) + .....
for example
(x+2)⁶
a =x, b=2
₆C₀ x⁶2⁰ + ₆C₁ x⁵2¹ + ₆C₂ x⁴2² + ₆C₃ x³2³ + ₆C₄ x²2⁴ + ₆C₅ x¹2⁵ + ₆C₆ x⁰2⁶
all you need is just follow the patten.

(d – 4b)^3
a = x
b = -4b

y = x^3
y = 3(x-4)^3 - 3

Discover Questions in Mathematics

Solving quadratics? Help needed.?
What is the derivative of x^2(ln x)^2?
Here's a riddle, can you solve it?
What is the radius of each bead?