(4x - 7y)(4x + 7y)
No
4*x*x*6*x
x^2 + 4x + 5 cannot be factored because its discriminant is less than zero.
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 - 7y)(4x + 7y)
4(x^2 + x + 3)
(4x + 5)(x - 3)
No
x2 - 4x - 21 = (x-7)(x+3)
4(x - 1)(x + 1)
4*x*x*6*x
2(x - 1)(2x + y)
4(x+y)^2
x2 + 4x + 3 =(x + 3) (x + 1)
If you mean -(x^2) - 4x + 32, then a simple way to do this is to factor out -1 first: -((x^2) + 4x - 32). Then you need simply to factorise the part inside the brackets
4x2+4x-8 4(x2+x-2) and (4x+8)(x-1)