Question

1. (x+2)x²-(x+2)·9

2. 25(1-x)-9x²(1-x)

3. 4(2+3x)x²-81(2+3x)

4. (x²-1)x²-36(x²-1)

5. (4-x²)-25(4-x²)x²

Answer 1

1. (x+2)x²  -(x+2)·9 = (x + 2)(x² - 9) = (x + 2)(x - 3)(x + 3)

 

2. 25(1-x)-9x²(1-x) = (1 - x)(25 - 9x²) = (1 - x)(5 - 3x)(5 + 3x)

 

3. 4(2+3x)x²-81(2+3x) = (2 + 3x)(4x² - 81) = (2 + 3x)(2x + 9)(2x - 9)

 

4. (x²-1)x²-36(x²-1) = (x² - 1)(x² - 36) = (x - 1)(x + 1)(x - 6)(x + 6)

 

5. (4-x²)-25(4-x²)x² = (4 - x²)(1 - 25x²) = (2 - x)(2 + x)(1 - 5x)(1 + 5x)

Answer 2

1. (x+2)x²-(x+2)·9 = x^3 +2x^2 - 9x-18

2. 25(1-x)-9x²(1-x) 25-25x-9x^2+9x^3

3. 4(2+3x)x²-81(2+3x)= 8x^2+12x^3-162-243x

4. (x²-1)x²-36(x²-1)= x^4-x^2-36x^2+36=x^4-35x^2+36

5. (4-x²)-25(4-x²)x²= 4-x^2-100x^2+25x^4= 4-101x^2+25x^4

^ - potega