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Maths calculators for Class 1–12 · CBSE, ICSE & state boards, UK KS1–A-level, IGCSE, US Common Core & AP — every answer worked out step by step.

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Ask anything in maths — type an expression or a plain-English question. The answer comes back as a set of panels: the result, other forms, a plot, roots, derivative, integral, number facts and a step-by-step solution, just like a computational knowledge engine.


Binomial Theorem Calculator: worked out step by step

Expand (a + b)ⁿ with every term shown, find any one term or the middle term(s), the coefficient of xᵏ or the term free of x, and build Pascal's triangle. Class 11. Made for Class 11 to 12 (CBSE, ICSE and state boards), UK Year 12 to 13, US Grade 11 to 12.

What you can work out

Worked example

With First term a 2x, Second term b -3y, Power n (0 to 30) 4, the answer is (2x−3y)4 = 16x4−96x3y+216x2y2−216xy3+81y4. The full working has 5 steps.

Questions about this calculator

What does the Binomial Theorem Calculator do?

Expand (a + b)ⁿ with every term shown, find any one term or the middle term(s), the coefficient of xᵏ or the term free of x, and build Pascal's triangle. Class 11. It has these parts: Expand (a + b)ⁿ, r-th Term & Middle Term, Coefficient of xᵏ / Term Free of x, Pascal's Triangle & nCr.

Is the Binomial Theorem Calculator free?

Yes. Everything on numolve is free to try. numolve Plus adds the full step-by-step working, photo scan, answer keys and PDF worksheets.

Does the Binomial Theorem Calculator show the working?

Yes. It shows the working one step at a time, with the formula where there is one. Free users see the first three steps of each solution; numolve Plus shows all of them.

Which classes is it for?

It is made for Class 11 to 12 (CBSE, ICSE and state boards), UK Year 12 to 13, US Grade 11 to 12.

Can I use it on my phone?

Yes. numolve works in any phone browser, and the Get the app button installs it like an app on Android and iPhone.

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