No
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(2x-1)(2x-1) = 4x^2 -4x + 1
x^2 + 4x + 5 cannot be factored because its discriminant is less than zero.
Remember both 16 & 25 are squared numbers. 16 = 4^2 & 25 = 5^2 Hence we can write (4x)^2 - (5y)^2 Remember two squared terms with a NEGATIVE Between them will factor. ( 4x - 5y)(4x + 5y) Note the difference signs. NNB Two squared terms with a positive (+) between them DOES NOT factor.
4x^(2) - 8x '4' is common to both '4' & '8' . So tak outr '4'. Hence 4(x^(2) - 2x) Inside the brackets 'x' is common to both 'x^(2) & '2x'. So take out 'x'. Hence 4x(x - 2) Done , fully factored.
4x^2 = 2 * 2 * x * x