Expand (2x − 3)²
Worked out line by line the way a teacher would write it.
Answer
| Expanded form | 4x² − 12x + 9 |
Step-by-step solution
4 steps-
1 Given\left(2 x - 3\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(2 x - 3\right) \left(2 x - 3\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(2 x \cdot 2 x + 2 x \cdot (-3) + (-3) \cdot 2 x + (-3) \cdot (-3)\right) -
4 Multiply out and combine like terms4 x^{2} - 12 x + 9
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