1. 3× ×(×-2)

2. (3×)² - 5²

(3×-5)×(3×+5)

3. ׳+5³

(×+5)×(ײ-× ×5+5²)

(×+5)+(ײ-5×+25)

4. (×-10)²

5. ײ+5×+×+5

× ×(×+5)+×+5

(×+5)×(×+1)

6. 2ײ+5×+2×+5

× ×(2×+5)+2×+5

(2×+5)×(×+1)

1. ) 3x( x - 2 )

solution:

3x² = (3)     (x)(x)

-6x = (3)(-2)(x)

the greatest common factor is 3x.

ANSWER = 3x( x - 2 )

2. ) ( 3x-5 )( 3x +5 )

solution

the square roots of 9x² is 3x

the square roots of -25 is -5 and 5

( 3x-5 )( 3x +5 )

ANSWER = ( 3x-5 )( 3x +5 )

3. ) ( x + 5 )( x²-5x+25 )

solution

the cube root of x³ is x

the cube root of 125 is 5

( x + 5 )

(x)(x) = x²

(5)(x) = 5x

change the 5x to -5x

the answer is -5x

(5)(5) = 25

ANSWER = ( x + 5 )( x²-5x+25 )

4. )  ( x - 10 )²

solution

the square root of x² is x

100

times

(-10)(-10) = 100

Add or Sub

-10(-10) = -20

ANSWER =  ( x - 10 )²

5. ) ( x + 5 )( x + 1 )

solution

the square root of x² is x

times

5 x 1 = 5

Add or Sub

5 + 1 = 6

ANSWER =  ( x + 5 )( x + 1 )

6. ) ( 2x + 5 )( x + 1 )

solution

2x² = 2x(x)

5 = 5(1)  

try to use foil method to check or trial and error

( 2x + 1 )( x + 5 )

2x(x) = 2x²

1(x) = x

5(2x) = 7x

7x + x = 8x

5 x 1 = 5

so this answer is wrong and try another arrangements

2x² + 8x + 5

( 2x + 5 )( x + 1 )

2x(x) = 2x²

5(x) = 5x

1(2x) = 2x

5x + 2x = 7x

5 x 1 = 5

this is correct

2x² + 7x + 5

ANSWER = ( 2x + 5 )( x + 1 )

- PANDA 8840

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- PANDA 8840