For Five Stars please complete them all showing all work. Factor, if possible. These problems will require only one step. 5. 3xy - 6yz 6. 50c - 40bc^2 7. y^2 + 7y - 18 8. b^2 - 7b +12 9. 3x^2 - 8x + 5 10. 4x^2 - 11x - 3 11. 4x^2 + 20x +25 12. 16x - 24x + 9 13. 8x^3 - 125y^3 14. 27x^3 + 64y^3 15. a^3 - 3ab - ac 16. 3a^3 + a^2b - 2a^2c 17. x^2 + 16 18. 4x^4 + 25 19. 64y^2 25z^2 20. 100m^2 - n^2 Factor each Polynomial 10. x^2 - xy - 56y^2 30. 5x^2 - 8x - 4 40. 16x^4 + 48x^3 + 20x^2 Use the different of two squares formula to factor. Be sure to factor out any common factors. 20. 49x^3 - 36x Use the perfect square trinomiel formulas to factor. Be sure to factor out any common factors. 24. 100y^2 - 20y + 1 Use the sum and difference of cubes formulas to factor. Be sure to factor out any common f

Kenya Leonard

Kenya Leonard

Answered question

2022-08-01

For Five Stars please complete them all showing all work.
Factor, if possible. These problems will require only one step.
5. 3xy - 6yz
6. 50c - 40bc^2
7. y^2 + 7y - 18
8. b^2 - 7b +12
9. 3x^2 - 8x + 5
10. 4x^2 - 11x - 3
11. 4x^2 + 20x +25
12. 16x - 24x + 9
13. 8x^3 - 125y^3
14. 27x^3 + 64y^3
15. a^3 - 3ab - ac
16. 3a^3 + a^2b - 2a^2c
17. x^2 + 16
18. 4x^4 + 25
19. 64y^2 25z^2
20. 100m^2 - n^2
Factor each Polynomial
10. x^2 - xy - 56y^2
30. 5x^2 - 8x - 4
40. 16x^4 + 48x^3 + 20x^2
Use the different of two squares formula to factor. Be sure to factor out any common factors.
20. 49x^3 - 36x
Use the perfect square trinomiel formulas to factor. Be sure to factor out any common factors.
24. 100y^2 - 20y + 1
Use the sum and difference of cubes formulas to factor. Be sure to factor out any common factors.
40. 27x^3 - 64
Factor if possible. Be sure to factor completely.
24. 5x^2 - x - 2
25. x^3 + 9x^2 14x
34. 1 - 16x^4

Answer & Explanation

Seromaniaru

Seromaniaru

Beginner2022-08-02Added 12 answers

5. 3xy - 6yz
= 3y(x-2z)
6. 50c - 40bc^2
=10c(5-4bc)
7. y^2 + 7y - 18
=y^2 +9y-2y-18
=y(y+9) -2(y+9)
=(y+9)(y-2)
8. b^2 - 7b +12
=b^2 -4b-3b+12
= b(b-4)-3(b-4)
=(b-3)(b-4)
9. 3x^2 - 8x+ 5
=3x^2 -3x -5x+5
=3x(x-1)-5(x-1)
=(x-1)(3x-5)
10. 4x^2 - 11x - 3
=4x^2 -12x+x -3
= 4x(x-3)+1(x-3)
=(4x+1)(x-3)
11. 4x^2 + 20x +25
=(2x)^2 + (2*2x*5)+5^2
=(2x+5)^2
=(2x+5)(2x+5)
12. 16x - 24x + 9
=-8x+9
13. 8x^3 - 125y^3
(2x)^3 -(5y)^3
=(2x-5y) (4x^2 +10xy +25y^2)
14. 27x^3 + 64y^3
=(3x)^3 +(4y)^3
=(3x+4y)(9x^2 + 12xy+16y^2)
15. a^3 - 3ab - ac
=a^3 -2ab-ab-ac
=a(a^2-2b) -a(b+c)
16. 3a^3 + a^2b - 2a^2c
=3a^3 +a^2(b-2c)
17. x^2 + 16
=x^2 +4^2
=(x+4)^2 -4x
18. 4x^4 + 25
=(2x^2)^2 +5^2
= (2x^2 +5)^2 -20x^2
19. 64y^2- 25z^2
= (8y)^2 -(5z)^2
= (8y+5z)(8y-5z)
20. 100m^2 - n^2
=(10m)^2 -n^2
=(10m+n)(10m-n)
Factor each Polynomial
10. x^2 - xy - 56y^2
=x(x-y) -56y^2
30. 5x^2 - 8x - 4
= 5x^2 -10x+2x-4
= 5x(x-2)+2(x-2)
=(5x+2)(x-2)
40. 16x^4 + 48x^3 + 20x^2
=4x^2 (4x^2 +12x +5)
=4x^2 (4x^2 +10x+2x+5)
= 4x^2 ( 2x(2x+5)+1(2x+5))
=4x^2(2x+5)(2x+1)
Israel Hale

Israel Hale

Beginner2022-08-03Added 5 answers

Use the different of two squares formula to factor. Be sure to factor out any common factors.
20. 49x^3 - 36x
=x(49x^2-36)
=x[ (7x)^2 -6^2]
= x(7x+6)(7x-6)
Use the perfect square trinomiel formulas to factor. Be sure to factor out any common factors.
24. 100y^2 - 20y + 1
= (10y)^2 -(2*10y*1) +1^2
= (10y +1)^2
Use the sum and difference of cubes formulas to factor. Be sure to factor out any common factors.
40. 27x^3 - 64
=(3x)^3 -4^3
= (3x-4)(9x^2 +12x+16)
Factor if possible. Be sure to factor completely.
24. 5x^2 - x - 2
25. x^3 + 9x^2+ 14x
=x(x^2 +9x+14)
= x(x^2+7x+2x+14)
=x(x(x+7)+2(x+7))
=(x(x+7)(x+2)
34. 1 - 16x^4
= 1^2 -(4x^2)^2
=(1+4x^2)(1-4x^2)
=(1+4x^2)(1-(2x)^2)
=(1+4x^2)(1+2x)(1-2x)

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