Question

Expand: (√3x - √5y)2.​

Answer 1

Answer:

Use the binomial expansion theorem to find each term. The binomial theorem states (a+b)n=n∑k=0nCk⋅(an−kbk)

.

2∑k=02!(2−k)!k!⋅(3x)2−k⋅(5y)k

Expand the summation.

2!(2−0)!0!⋅(3x)2−0⋅(5y)0+2!(2−1)!1!⋅(3x)2−1⋅(5y)+2!(2−2)!2!⋅(3x)2−2⋅(5y)2

Simplify the exponents for each term of the expansion.

1⋅(3x)2⋅(5y)0+2⋅(3x)⋅(5y)+1⋅(3x)0⋅(5y)2

Simplify each term.

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9x2+30xy+25y2

Step-by-step explanation: