Math, asked by shakti34, 10 months ago

Ex. 7. Simplify: (x + y) + (x - y)2 + 6x (x² - y2)​

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Answers

Answered by shashigond
0

Answer:

8x3

Step-by-step explanation:

(x+y)3+(x−y)3+6x(x2−y2)

Distribute:

=x3+3x2y+3xy2+y3+x3+−3x2y+3xy2+−y3+(6x)(x2)+(6x)(−y2)  

=x3+3x2y+3xy2+y3+x3+−3x2y+3xy2+−y3+6x3+−6xy2

Combine Like Terms:

=x3+3x2y+3xy2+y3+x3+−3x2y+3xy2+−y3+6x3+−6xy2

=(x3+x3+6x3)+(3x2y+−3x2y)+(3xy2+3xy2+−6xy2)+(y3+−y3)

=8x3

Answered by bimalbhutani
0

Answer:

8x3

Step-by-step explanation:

(x+y)3+(x−y)3+6x(x2−y2)

Distribute:

=x3+3x2y+3xy2+y3+x3+−3x2y+3xy2+−y3+(6x)(x2)+(6x)(−y2)  

=x3+3x2y+3xy2+y3+x3+−3x2y+3xy2+−y3+6x3+−6xy2

Combine Like Terms:

=x3+3x2y+3xy2+y3+x3+−3x2y+3xy2+−y3+6x3+−6xy2

=(x3+x3+6x3)+(3x2y+−3x2y)+(3xy2+3xy2+−6xy2)+(y3+−y3)

=8x3

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