Question

The product of 3/4 xy and 4/3 yx is​

Answer 1

Answer:

Step-by-step explanation:

 3 xy      ×    4  xy          (xy=x×y=y×x)

   4                  3

=    x²y² (as 3 and 1/3  will cut and 4 and 1/4 will cut)

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Answer 2

Answer:$x^{2} y^{2}$ is the product of the $\frac{3}{4} xy$ and $\frac{4}{3} yx$ .

Step-by-step explanation:

Concept: Algebraic multiplication is done by first adding the powers of the similar variables and then multiplying the coefficients of the variables.

An algebraic expression is an expression that consists of variables and numbers joined with the basic mathematical operators like a plus sign, minus sign, cross sign, and division sign.

Step 1:  $\frac{3}{4} xy$ *  $\frac{4}{3} yx$  =  $(\frac{3}{4} * \frac{4}{3} ) x^{2} y^{2}$ (first multiplying the coefficients of the variables and then adding the powers of the similar variables)

Step 2:  $(\frac{3}{4} * \frac{4}{3} ) x^{2} y^{2}$ = $1 * x^{2} y^{2}$ ( after performing the multiplication of the coefficients) = $x^{2} y^{2}$ .

The final answer: $x^{2} y^{2}$ is the final product. This is also an algebraic expression, which means the multiplication of two algebraic expressions gives another algebraic expression.