The following steps of solving for the roots of 2x² - 4x -3 = 0 were retrieved from another source
Step 1 2x² - 4x = 3
Step 2 2(x² - 2x) = 3
Step 3 2(x² - 2x + 1) = 3 + 1
Step 4 2(x - 1)² = 4
From this, we can see that on Step 3, Tran made a mistake of adding 1 to 3. As we can see, 2(x² - 2x + 1) = 2x² - 4x + 2. That means, instead of adding 1, it should have been 2.
Therefore, the step that Tran first made an error is Step 3<span>.</span>
<span> a⁴(3a² - 2a + 1)
We just have to multiply each term inside the parentheses by a⁴ .
a⁴</span><span>(3a² ) = 3a⁶
a⁴</span><span>( - 2a ) = -2a⁵
a⁴</span><span>( 1) = a⁴
Now, just addum up : 3a⁶ - 2a⁵ + a⁴</span>