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1) 5x^2 - 18x - 2(x^2 -7x +3)
= 5x^2 - 18x - 2x^2 + 14x - 6
= 3x^2 - 4x -18
2) (2a-3b)(3a+2b)
= 6a^2 + 4ab - 9ab - 6b^2
= 6a^2 - 5ab - 6b^2
3)(-5x -3)^2
= (-5x)^2 + (-5x)(-3)(2) + (-3)^2
= 25x^2 + 30x + 9
4) (2x - 3/4x)^2
= (2x)^2 + (2x)(-3/4x)(2) + (-3/4x)^2
= 4x^2 - 3 + 9/16x^2
= (16x^2 (4x^2) - 16x^2 (-3) + 9)/ 16x^2
= (64x^4 - 48x^2 - 9)/16x^2
5) 18x^2 - 8y^2 = (3x-2y)(6x+4y)
7)Diket: x + y = 4 , xy = -12
Pertama, kita cari x^2 + y^2 dengan rumus kuadrat:)
(x+y)^2 = x^2 + 2xy + y^2 (pindah ruaskan)
(x+y)^2 - 2xy = x^2 + y^2 (masukkan yg dkthui)
(4)^2 - 2(-12) = x^2 + y^2
16 + 24 = x^2 + y^2
40 = x^2 + y^2
jadi...
x^2 + 5xy. + y^2
= (x^2 + y^2) + 5xy
= 40 + 5(-12)
= 40 - 60
= -20
9) (2x + 5)^3 = Ax^3 + Bx^2 + Cx + D
kita uraikan bagian kiri dengan segitiga pascal. ingat kan segitiga pascal pada pangkat 3? Yup... 1 3 3 1 :)
1(2x)^3 + 3(2x)^2 (5) + 3(2x)(5)^2 + (5)^3
= 8x^3 + 60x^2 + 150x + 125
= Ax^3 + Bx^2 + Cx + D
jadi:
A = 8
B = 60
C = 150
D = 125
2A-B
---------
2C - D
2(8)-60
-----------
2(150)-125
16-60
---------
300-125
-44
------
175
maaf.. sekian dari saya. semoga bermanfaat. apabila ada kesalahan dan kurang jelasnya penjelasan saya, saya mohon maaf. /.\