(4x+5)(4x+5)
X3 + 13X2 + 40X factor out an X X(X2 + 13X + 40) factor the quadratic expression, what two factors of 40 add up to 13? X(X + 8)(X + 5) works the same if that is a negative in front of X3, just sign changes
5x(6x + 7y + 8)
(2x+1)(2x+3) when factored
5x(7xy + 6x + 8)
4x+516x2 + 40x + 25= (4x + 5) (4x + 5)
16x2 + 40x + 25 = 16x2 + 20x + 20x + 25 = 4x(4x + 5) + 5(4x + 5) = (4x + 5)(4x + 5) = (4x + 5)2
(4x+5)(4x+5)
It is: (x2 + 5x) (x + 8)
A trinomial of the form ax2 + bx + c , where a is a square, c is a square and b = 2(sq root a)(sq root b). b can be a negative also. ex: x2 + 6x + 9 , note a = 1 or 16x2 - 40x + 25
X3 + 13X2 + 40X factor out an X X(X2 + 13X + 40) factor the quadratic expression, what two factors of 40 add up to 13? X(X + 8)(X + 5) works the same if that is a negative in front of X3, just sign changes
5x(6x + 7y + 8)
(2x+1)(2x+3) when factored
5x(7xy + 6x + 8)
(x2 plus 40) (x minus 1)
25x2 + 40x + 16 = 25x2 + 20x + 20x + 16 = 5x(5x + 4) + 4(5x + 4) = (5x + 4)(5x + 4) or (5x + 4)2
The factorization of 25x2 + 40x + 16 is (5x+4)(5x+4).