1,315 prompts matching "expanding (2x-3)^5 using the binomial formula"
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Teach me complex numbers from scratch
I am in SS 3. Teach me what a complex number is and why i is defined as the square root of
Explain equal complex numbers
I am in SS 3. Explain the condition for two complex numbers to be equal (real parts equal
Differentiation practice question #1
I am in SS 3. Give me a differentiation problem where y = x^3 - 4x^2 + 2x, find dy/dx. Let
Differentiation practice question #3
I am in SS 3. Give me a differentiation problem where y = (3x-2)/(x+1), find dy/dx using t
Differentiation practice question #5
I am in SS 3. Give me a differentiation problem where y = sin(3x) + cos(2x), find dy/dx. L
Integration practice question #2
I am in SS 3. Give me an integration problem where I must find the integral of (2x+3)^4 wi
Find and classify stationary points #1
I am in SS 3. Give me a calculus problem where y = x^3 - 3x^2 - 9x + 5, find and classify
Find and classify stationary points #3
I am in SS 3. Give me a calculus problem where a curve y = x^2 - 4x + 7, find the minimum
WAEC past-question practice: calculus #1
I am in SS 3. Give me a WAEC Further Mathematics past-question on differentiation using th
Kinematics: equations of motion practice #1
I am in SS 3. Give me a kinematics problem where a car accelerates from 5 m/s to 20 m/s in
Kinematics: equations of motion practice #2
I am in SS 3. Give me a kinematics problem where a ball is thrown vertically upward at 15
Kinematics: equations of motion practice #3
I am in SS 3. Give me a kinematics problem where a body starts from rest and accelerates a
Kinematics: equations of motion practice #4
I am in SS 3. Give me a kinematics problem where a train decelerates from 30 m/s to rest i
Kinematics: equations of motion practice #5
I am in SS 3. Give me a kinematics problem where a stone is dropped from a height of 45m,
Explain time of flight and range in projectile motion
I am in SS 3. Explain how to derive the formulas for time of flight and horizontal range o
Explain-back: my understanding of Cramer's rule
I am in SS 3. Let me explain how Cramer's rule works in my own words for a 2x2 system, the
Worked example: solving simultaneous equations with matrices
I am in SS 3. Show me one fully worked example of using the inverse matrix method to solve
Worked example: resultant of two forces
I am in SS 3. Show me one fully worked example finding the resultant of two forces at an a
Spot my mistake in a Cramer's rule solution
I am in SS 3. I solved a pair of simultaneous equations using Cramer's rule but I'm not su
Spot my mistake finding a resultant force
I am in SS 3. I found the resultant of two forces using the cosine rule but I think I used