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uysha [10]
3 years ago
11

[x^2+2y]^3 expand it

Mathematics
2 answers:
777dan777 [17]3 years ago
8 0

(a + b) {}^{3}  = a {}^{3}  + 3a {}^{2} b + 3ab {}^{2}  + b {}^{3}  \\  \\ x {}^{6}  + 6x {}^{4} y + 12x {}^{2} y {}^{2}  + 8y {}^{3}

Aleksandr-060686 [28]3 years ago
3 0

Answer:

x^6 + 6x^4 y + 12x^2 y^2 + 8y^3.

Step-by-step explanation:

Using the Binomial Theorem:

(x^2 + 2y)^3 = (x^2)^3 + 3C1 (x^2)^2 (2y) + 3C2 x^2 (2y)^2 + (2y)^3

= x^6 + 3*x^4*2y + 3*x^2*4y^2 + 8y^3

= x^6 + 6x^4 y + 12x^2 y^2 + 8y^3.

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