an algebraic expression 3x+4y÷2
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Answer:
(3x+4y)
2
is the product of two binomial expressons, which have the same terms (3x+4y) and (3x+4y). It can be expanded by the method of multiplying a binomial by a binomial.
On Comparing the identities with this product. In this product a=3x and b=4y. We can get the result of this product by substituting 3x and 4y terms in the place of a and b respectively in the first identity (a+b)
2
=a
2
+2ab+b
2
Hence, (3x+4y)
2
=(3x)
2
+2(3x)(4y)+4y
2
=9x
2
+24xy+16y
2
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