Question

expand (x÷4 - y÷2 +3 )^2​

Answer 1

Step-by-step explanation:

(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