(a+b)2 = a2+2ab+b2
Contoh : (2x+3y)2=(2x)2+2(2x)(3y)+(3y)2
=4x2+12xy+9y2
(a-b)2 = a2 - 2ab + b2
Contoh : (2x-3y)2=(2x)2-2(2x)(3y)+ (-3y)2
=4x2-12xy+9y2
(a + b)(a + c) = a2 + a(b + c) + bc
Contoh : (2x+3y)(2x+4y)=(2x)2+2x(3y+4y)+(3y)(4y)
=4x2+14xy+12y2
(a + b)(a – b) = a2 - b2
Contoh : (2x+3y)(2x-3y)=(2x)2- (3y)2
=4x2-9y2
(a + b)( a2 - ab + b2) = a^3 + b2
Contoh : (2x+3y)(4x2-6xy+9y2 )=(2x)^3+(3y)2
=8x^3+27y2
disini, a = 2x & b = 3y. 4x2 = (2x)2, & 9y2 = (3y)2
(a - b)( a2 + ab + b2) = a^3 - b2
Contoh : (2x-3y)(4x2+6xy+9y2 )=(2x)3-(3y)2
= 8x^3-27y2
disini, a = 2x & b = 3y. 4x2 = (2x)2, & 9y2 = (3y)2
Dimana a & b bisa jadi Konstanta ataupun Variabel
CONTOH
- (2x + y + 1)(4y+x+4)
- (x+6xy)(x-6xy)
- (2x+11)2
- (x+2y)(x2-2xy+4y2)
JAWABAN
- 8xy + 2x2 + 8x + 4y2 + xy + 4y + 4y + x + 4 =2x2 + 4y2 + 9x + 8y + 9xy + 4
- x2-36y2
- 4x2+44x+121
- x3+4y2