multiply out (2x-3) squared eg small 2
(2x-3)^2
(2X-3)(2X-3)
= 4X^2 - 6X - 6X + 9
= 4X^2 - 12X + 9
To multiply out the expression (2x - 3)², you can use the concept of the binomial square. The squared term means that you need to multiply the expression by itself.
Step 1: Square the first term.
The first term of the expression (2x - 3) is 2x. So, when you square it, you get (2x)² = 4x².
Step 2: Multiply the first term by the second term and double the result.
The first term is 2x, and the second term is -3. Multiply them together: 2x * -3 = -6x. Double this result: -6x * 2 = -12x.
Step 3: Square the second term.
The second term is -3, so when you square it, you get (-3)² = 9.
Step 4: Combine the terms obtained in Steps 1, 2, and 3.
Combine the terms: 4x² - 12x + 9.
Therefore, (2x - 3)² = 4x² - 12x + 9.