-17
20x2 - 27x -8 20 * -8 is -160, and -32 and 5 add to -27 20x2 - 32x + 5x - 8 4x(5x-8) + 1(5x-8) (4x + 1)(5x-8)
3 squared = 9 4 squared = 16 9 x 16 = 144 3 squared x 4 squared = 144
4x+9=25 4x+9=25-9 4x/4=1 16/4=4 4x+9=26 4(4)+9=25 16+9=25 The answer is 4
Solve for Y algebraically. 4X + 8Y = 16 8Y = - 4X + 16 Y = - 1/2X + 2 graph and see that the Y intercept = 2
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 - 7y)(4x + 7y)
4x times 4x equals 16x2.
(4x + 5)(x - 3)
20
(2x-1)(2x-1) = 4x^2 -4x + 1
x(x-4)
No
4x(4x^2 + 3x + 1)
16x^2 - 25 Recognise that both 16 and 25 are squared numbers, 16 = 4^(2) & 25 = 5^(2) Substituting 4^(2)x^(2) - 5^(2) = > (4x)^(2) - 5^(2) We now have two squared terms with a negative between them. NB two squared terms with positive does NOT factor. Factoring (4x - 5)(4x + 5)
2(x - 1)(2x + y)
4(x^2 + x + 3)