maths.free › Algebra › Expanding

Expanding

Distributing products and collecting like terms.

Expanding multiplies out brackets: every term in one factor times every term in the other, then like terms combined. (x + 1)³ expands to x³ + 3x² + 3x + 1. The coefficients are a row of Pascal's triangle.

Mfano wenye matokeo · expand (x+1)^3

Expand (x + 1)^3

\left(x + 1\right)^{3}

Hatua kwa hatua

  1. \left(x + 1\right)^{3}

    Start from the expression.

  2. x^{3} + 3 x^{2} + 3 x + 1

    Distribute (multiply out) the products.

Lafunua jibu
x^{3} + 3 x^{2} + 3 x + 1

Sasa Chagua tatizo, au aina ya barua au uchore.

Keep your own working

Akaunti la bure laongezea mambo makuu juu ya kila somo, rekodi ya yale ambayo umemaliza, matatizo yako ya kutatua katika sehemu moja, na mtunzaji unayeweza kuuliza juu ya ukurasa huu.

Jisajili Login

Ishara zinazotumiwa hapa

Vaa alama yoyote ya ufafanuzi kamili, picha, na maana ya kila herufi.

Jinsi ya Kufaulu: Expanding

  1. Start from the expression.
  2. Distribute (multiply out) the products.

Maswali ambayo watu huuliza

What does it mean to solve an equation?

To find every value of the unknown that makes both sides equal. Each step is an operation applied to both sides that keeps the solution set the same, until the unknown stands alone.

Why do I sometimes get two answers?

A quadratic can cross the axis twice, so it can have two solutions. A degree-n polynomial has up to n. The graph shows where each one comes from.

How do I know whether to factor or use the quadratic formula?

Try factoring for a few seconds: look for two numbers that multiply to a·c and add to b. If nothing obvious appears, the discriminant b² − 4ac tells you how many real roots there are, and the formula finds them without guessing.

Mengi zaidi katika Algebra