1,166 prompts matching "differentiate y = (2x-1)(x+3) after expanding it first"
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Structured question: fully factorise x^3 - 2x^2 - 5x + 6
I am in SS 3. Give me the cubic x^3 - 2x^2 - 5x + 6 as a structured Additional Maths quest
Prove that (1-cos^2x)/sinx = sinx
I am in SS 3. Give me the 'prove that' identity (1-cos^2x)/sinx = sinx as a structured que
AP with 3rd term 11 and 8th term 31: find a and d
I am in SS 3. Give me a structured arithmetic progression question where the 3rd term is 1
Find the sum of the first 15 terms of an AP
I am in SS 3. Give me a structured question where I am given the first term and common dif
Show that a geometric series converges and find its sum to infinity
I am in SS 3. Give me a structured question where I must first show a given geometric seri
Worked example: solve 3^(2x) - 4(3^x) + 3 = 0
I am in SS 3. Show me a full worked example solving 3^(2x) - 4(3^x) + 3 = 0 by treating it
Structured question: logarithmic equation reducing to a quadratic
I am in SS 3. Set me a structured logarithmic equation question where substituting y=log(x
Structured question: AP and GP sharing the same first three terms
I am in SS 3. Give me a structured question describing a sequence whose first three given
Explain back: why we check the domain in logarithmic equations
I am in SS 3. Let me explain in my own words why we must check that x satisfies the domain
Practice: The condition on the orders for a product to exist
Act as my SS3 Further Mathematics tutor. Give me five practice questions on the condition
WAEC Prep: Expanding a 3 by 3 determinant down a column
Act as my WAEC Further Mathematics coach. I am in SS 3. Take me through expanding a 3 by 3
Quiz: Expanding a 3 by 3 determinant along a row or column containing noughts
Act as my SS3 Further Mathematics tutor and quiz me on expanding a 3 by 3 determinant alon
Spot My Mistake: Forming the determinant Dx by replacing the first column
Act as my SS3 Further Mathematics tutor. Work a question on forming the determinant Dx by
Practice: Turning a minor into a cofactor with the sign rule
Act as my SS3 Further Mathematics tutor. Give me five practice questions on turning a mino
Spot My Mistake: Checking cofactors by expanding the determinant along a second row
Act as my SS3 Further Mathematics tutor. Work a question on checking cofactors by expandin
Practice: Why a 2 by 2 matrix with determinant nought cannot be inverted
Act as my SS3 Further Mathematics tutor. Give me five practice questions on why a 2 by 2 m
Practice: Comparing the inverse method with elimination for three equations
Act as my SS3 Further Mathematics tutor. Give me five practice questions on comparing the
Practice: Limiting friction, and the greatest value it can reach
Act as my SS3 Further Mathematics tutor. Give me five practice questions on limiting frict
Practice: The probability of at least one success
Act as my SS3 Further Mathematics tutor. Give me five practice questions on the probabilit
Practice: The probability of exactly r events in a Poisson distribution
Act as my SS3 Further Mathematics tutor. Give me five practice questions on the probabilit