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12 January, 04:13

Expand or factor each of the following expressions to determine which expressions are equivalent.

(3x - 4y) ²

912 + 31 - 20

(41 - 3y) ²

(3x - 2) (9x2 + 6x + 4)

(3x + 5) (3x - 4)

(31 + 2) (912 - 61 + 4)

9.12 - 2414 + 1672

2713 - 8

+3
Answers (1)
  1. 12 January, 07:07
    0
    1. 9x^2-24xy16y^2

    2.

    3.9y^2-246y+1681

    4. 18x^2+54x-44

    Step-by-step explanation:

    1. (3x) ^2-2*3x*4y + (4y) ^2

    9x^2-2*3x4y + (4y) ^2

    9x^2-24xy + (4y) ^2

    9x^2-24xy+16y^2

    Ans: 9x^2-24xy+16y^2 the (*) are times

    2. 912+31-20=923

    ANS: 13*71

    3. 1681-246y+9y^2

    9y^2-246y+1681

    ANS : 9y^2-246y+1681

    4. 3x * (9*2+6x+4) - 2 (9*2+6x+4)

    54x+18^2+12x-2 (9*2+6x+4)

    54x+18x^2+12x-36-12x-8

    54x+18^2+12x-36-12x-8

    54x+18x^2-36-8

    18x^2+54x-36-8

    18x^2+54x-44

    Ans: 18x^2+54x-44

    5. 3x*3x-3x*4+5*3x-5*4

    9x^2-3x*4+5*3x-5*4

    9x^2-12x+5*3x-5*4

    9x^2-12x+15x-5*4

    9x^2-12x+15x-20

    ANS: 9x^2+3x-20

    6. (31+2) (912-61+4) = 28215

    ANS : 3^3*5*11*19

    7. 9.12-2414+1672

    912/100-2414+1672

    2^4*3*19/2^2*5^2 - 2414+1672

    2^4-2*3*19/5^2 - 2414+1672

    2^2*3*19/5^2 - 742

    (2^2*3*19) - 5^2) 742/5^2

    (4*3*19) - 25*742/5^2

    228-18550/5^2

    18322/5^2

    8. 2713-8

    2705

    ANS: 5*541
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