Multiply the polynomials using the special product formulas. Express your

Ben Shaver 2021-12-16 Answered
Multiply the polynomials using the special product formulas. Express your answer as a single polynomial in standard form.
(x2y)2
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Expert Answer

Dabanka4v
Answered 2021-12-17 Author has 36 answers
Step 1
Given:
(x2y)2
To multiply the polynomial express in standard form
Step 2
Special Identity (ab)2=a22ab+b2
a=x; b=2y
(x2y)2=(x)22(x)(2y)+(2y)2
=x24xy+4y2
Answer: x24xy+4y2
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Barbara Meeker
Answered 2021-12-18 Author has 38 answers
The given expression is the square of a binomial. So, multiply the binomials using the special products formula (xa)2=x22ax+a2.
(x2y)2=x222yx+(2y)2
Rewrite using the laws of exponents and simplify.
x222yx+(2y)2=x24xy+22y2
=x24xy+4y2
Therefore, the result is x24xy+4y2.
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