Expand (x − 1)²
Worked out line by line the way a teacher would write it.
Answer
| Expanded form | x² − 2x + 1 |
Step-by-step solution
4 steps-
1 Given\left(x - 1\right)^{2}
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2 Write the power as a repeated product
A power is repeated multiplication: (a + b)² = (a + b)(a + b). Writing it out shows exactly which brackets to multiply.
\left(x - 1\right) \left(x - 1\right) -
3 Multiply the binomials (FOIL: First, Outer, Inner, Last)
To multiply two binomials, multiply every term of one by every term of the other: the First terms, the Outer terms, the Inner terms and the Last terms, four products in all.
\left(x \cdot x + x \cdot (-1) + (-1) \cdot x + (-1) \cdot (-1)\right) -
4 Multiply out and combine like termsx^{2} - 2 x + 1
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