Matematika

Pertanyaan

1. Sederhanakan:
a.-3(a-2)
b.-4(t+17)

2.Sederhanakan:
a.4b3(2b2-2b)
b.3xy(x+y)

3. Sederhanakan:
a.1/4 x2(8x5-4)
b.4/3 a2b(6a-5b)

4.Sederhanakan:
a.(2a+4)(3a-5)
b.(2b-1)(3b+4)

5. Jabarkan:
a.(x+5)2
b.(x-2y)2

1 Jawaban

  • 1. a. -3a+6
    b. -4t-68

    2. a. 8b⁵-8b⁴
    b. 3x²y+3xy²

    3. a. 1/4x²(8x⁵-4)
    = (1/4x².8x⁵) (1/4x².(-4))
    = 2x⁷-x²
    b. 4/3a²b(6a-5b)
    = (4/3a²b.6a) (4/3a²b.(-5b))
    = 8a³b-20/3a²b²

    4. a. (2a+4)(3a-5)
    = 6a²-10a+12a-20
    = 6a²+2a-20
    b. (2b-1)(3b+4)
    = 6b²+8b-3b-4
    = 6b²+5b-4

    5. a. (x+5)²
    = (x+5)(x+5)
    = x²+5x+5x+25
    = x²+10x+25
    b. (x-2y)²
    = (x-2y)(x-2y)
    = x²-2xy-2xy-4y²
    = x²-4xy-4y²

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