A parent, guardian, or teacher should always be involved when a child uses AI. Please review AI responses together before relying on them.
← Back to Senior Secondary

Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
Three prompts in each subject are free to try. One subscription opens every subject and every prompt in senior secondary, or subscribe your whole school. Already have a code? Enter it here.
Clear

932 prompts matching "Expanding and simplifying with negative brackets"

Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.

Simplify the surd expression (3+sqrt2)(3-sqrt2)

Act as my SS2 Further Maths tutor. Show me step by step how to simplify (3+sqrt2)(3-sqrt2)

Subscribe to unlock all

Simplify the surd expression 5/(1+sqrt3)

Act as my SS2 Further Maths tutor. Show me step by step how to simplify 5/(1+sqrt3), extra

Subscribe to unlock all

Simplify the surd expression (2+sqrt5)^2

Act as my SS2 Further Maths tutor. Show me step by step how to simplify (2+sqrt5)^2, extra

Subscribe to unlock all

Solve the trigonometric equation 2cos(x) = 1, for 0 <= x <= 360

Act as my SS2 Further Maths tutor. Show me step by step how to solve 2cos(x) = 1, for 0 <=

Subscribe to unlock all

Solve the trigonometric equation sin(2x) = 0.5, for 0 <= x <= 360

Act as my SS2 Further Maths tutor. Show me step by step how to solve sin(2x) = 0.5, for 0

Subscribe to unlock all

Solve the trigonometric equation tan(x) = -1, for 0 <= x <= 360

Act as my SS2 Further Maths tutor. Show me step by step how to solve tan(x) = -1, for 0 <=

Subscribe to unlock all

Solve the trigonometric equation 3sin(x) - 1 = 0, for 0 <= x <= 360

Act as my SS2 Further Maths tutor. Show me step by step how to solve 3sin(x) - 1 = 0, for

Subscribe to unlock all

Solve the trigonometric equation cos^2(x) - sin^2(x) = 0.5, for 0 <= x <= 360

Act as my SS2 Further Maths tutor. Show me step by step how to solve cos^2(x) - sin^2(x) =

Subscribe to unlock all

Worked example: simplify (3+2i) + (1-5i)

Act as my SS2 Further Maths tutor. Show me a full worked example for this complex numbers

Subscribe to unlock all

Worked example: simplify (2+i)(3-4i)

Act as my SS2 Further Maths tutor. Show me a full worked example for this complex numbers

Subscribe to unlock all

Worked example: simplify (4+3i)/(1-2i)

Act as my SS2 Further Maths tutor. Show me a full worked example for this complex numbers

Subscribe to unlock all

Worked example: solve x^2+4x+13=0 giving the roots as complex numbers

Act as my SS2 Further Maths tutor. Show me a full worked example for this complex numbers

Subscribe to unlock all

Worked example: find the magnitude of the vector (3,4)

Act as my SS2 Further Maths tutor. Show me a full worked example for this vectors problem:

Subscribe to unlock all

Worked example: find the unit vector in the direction of (6,8)

Act as my SS2 Further Maths tutor. Show me a full worked example for this vectors problem:

Subscribe to unlock all

Worked example: how many ways can 5 books be arranged on a shelf

Act as my SS2 Further Maths tutor. Show me a full worked example for this permutations and

Subscribe to unlock all

Worked example: how many ways can a committee of 4 be chosen from 10 people

Act as my SS2 Further Maths tutor. Show me a full worked example for this permutations and

Subscribe to unlock all

Worked example: how many distinct arrangements are there of the letters in the word MISSISSIPPI

Act as my SS2 Further Maths tutor. Show me a full worked example for this permutations and

Subscribe to unlock all

Worked example: in how many ways can 6 people be seated around a circular table

Act as my SS2 Further Maths tutor. Show me a full worked example for this permutations and

Subscribe to unlock all

Worked example: determine whether the argument 'if p then q; p; therefore q' is valid using a truth table

Act as my SS2 Further Maths tutor. Show me a full worked example for this propositional lo

Subscribe to unlock all

Worked example: determine whether p IMPLIES q is logically equivalent to (NOT p) OR q

Act as my SS2 Further Maths tutor. Show me a full worked example for this propositional lo

Subscribe to unlock all