Question

Write down an algebraic expression for each of the following


The difference between the cube of the sum of x and y and the square root of the sum
of 5x and 3y.

Answer 1

1. answer is in the picture

2.The distinction between the two formulas is in the location of that one "minus" sign: For the difference of cubes, the "minus" sign goes in the linear factor, a – b; for the sum of cubes, the "minus" sign goes in the quadratic factor, a2 – ab + b2.

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Answer 2

Answer:

$(x + y) {3} - (5x + 3y) {2}$

☝️Answer.

Step-by-step explanation:

According to the Question;

The difference between the cube of the sum of x and y and the square root of the sum

The difference between the cube of the sum of x and y and the square root of the sumof 5x and 3y.

.°. Making Algebraic expression:-

The difference between the cube of the sum of x and y. =}.

$(x + y) ^{3}$

And...

the square root of the sum of 5x and 3y.

=}

$(5x + 3y) ^{2}$

.•. Finally Algebraic expression:-

$(x + y) {3} - (5x + 3y){2}$

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