Matematika

Pertanyaan

A. (2x+1)2=
B. (10x-1)2=
C. (3x+7)2=
D. (x2-5).(4x2+1)=
E. (2y-9).(2y+9)=
F. (2d+1).(5d-1)=
G. (x-3).(x+1)=
H. (2a+3b) (5a2+2ab+b2)=
I. (x2-4) (2x2+x+3y)=
J. (a-5)2 +(a-1)=
K. (x+4)2 +(x+2)2=
Tolong di jawab dan pakai jalannya ya

2 Jawaban

  • Semoga jawabannya membantu :)
    Gambar lampiran jawaban NengYunii
  • A. (2x+1)²
    = (2x+1) (2x+1)
    = (2x.2x) + (2x.1) + (1.2x) + (1.1)
    = 4x² + 2x + 2x + 1
    = 4x² + 4x + 1

    B. (10x-1)²
    = (10x-1) (10x-1)
    = (10x.10x) + (10x.-1) + (-1.10x) + (-1.-1)
    = 100x² - 10x - 10x + 1
    = 100x² - 20x + 1

    C. (3x+7)²
    = (3x+7) (3x+7)
    = (3x.3x) + (3x.7) + (7.3x) + (7.7)
    = 9x² + 21x + 21x + 49
    = 9x² + 42x + 49

    D. (x²-5) (4x²+1)
    = (x².4x²) + (-5.4x²) + (1.x²) + (1.-5)
    = 4x⁴ - 20x² + x² - 5
    = 4x⁴ - 19x² - 5

    E. (2y-9) (2y+9)
    = (2y.2y) + (2y.9) + (-9.2y) + (-9.9)
    = 4y² + 18y - 18y - 18
    = 4y² - 18

    F. (2d+1) (5d-1)
    = (2d.5d) + (2d.-1) + (1.5d) + (1.-1)
    = 10d² - 2d + 5d - 1
    = 10d² + 3d - 1

    G. (x-3) (x+1)
    = (x.x) + (x.1) + (-3.x) + (-3.1)
    = x² + x - 3x - 3
    = x² - 2x - 3

    H. (2a+3b) (5a²+2ab+b²)
    = (2a.5a²) + (2a.2ab) + (2a.b²) + (3b.5a²) + (3b.2ab) + (3b.b²)
    = 10a³ + 4a²b + 2ab² + 15a²b + 6ab² + 3b³
    = 10a³ + 19a²b + 8ab² + 3b³

    I. (x²-4) (2x²+x+3y)
    = (x².2x²) + (x².x) + (x².3y) + (-4.2x²) + (-4.x) + (-4.3y)
    = 2x⁴ + x³ + 3x²y - 8x² - 4x - 12y

    J. (a-5)² + (a-1)
    = ((a-5)(a-5)) + (a-1)
    = ((a.a)+(a.-5)+(-5.a)+(-5.-5)) + (a-1)
    = a² - 5a - 5a + 25 + a - 1
    = a² - 9a + 24

    K. (x+4)² + (x+2)²
    = ((x+4)(x+4)) + ((x+2)(x+2))
    = ((x.x)+(x.4)+(4.x)+(4.4)) + ((x.x)+(x.2)+(2.x)+(2.2))
    = x² + 4x + 4x + 16 + x² + 2x + 2x + 4
    = 2x² + 12x + 20


    Maaf jika ada kesalahan ^^

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