Question

$(x + y) ^3$
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Answer 1

It is a binomial in which and are two terms. In mathematics, the cube of sum of two terms is expressed as the cube of binomial . It is read as plus whole cube. It is mainly used in mathematics as a formula for expanding cube of sum of any two terms in their terms. ( x + y ) 3 = x 3 + y 3 + 3 x 2 y + 3 x y 2.

Answer 2

ՏͲᎬᏢ ᏴͲ ՏͲᎬᏢ ᎬХᏢᏞᎪᏆΝᎪͲᏆϴΝ:-

(x+y)³ = (x+y) (x+y) (x+y) (x+y)3 = (x+y)(x+y)(x+y)

taking the first two:

(x+y) (x+y) = x(x+y) + y(x+y) (x+y) (x+y) = x(x+y)+y(x+y)

=x2+xy+yx+y2=x2+xy+yx+y2

=x2+2xy+y2.=x2+2xy+y2.

This gives us

(x+y)3=(x2+2xy+y2)(x+y)(x+y)3=(x2+2xy+y2)(x+y)

this can be expanded out into:

x(x2+2xy+y2)+y(x2+2xy+y2)=x3+2x2y+xy2+yx2+2xy2+y3x(x2+2xy+y2)+y(x2+2xy+y2)=x3+2x2y+xy2+yx2+2xy2+y3

this can be simplified into

x3+3x2y+3xy2+y3x3+3x2y+3xy2+y3

so (x+y)³=x3+3x2y+3xy2+y3(+y)3=x3+3x+3xy2+y3