Write the following expression. The quantity 81 minus 5k, squared

81-25k²

Step-by-step explanation:

We need to write the expression for "The quantity 81 minus 5k, squared".

Square of any number x is given by x².

Square of 5k is given by : (5k)²= 5²×k²=25k²

Now subtract 25k² from 81.

It means we get : 81-25k². It is required expression.

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions

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