evaluate 4x^2(2x+x^3y)+x^y for x = 5 and y=0

Evaluate 4 (x/5)^2+3 when c =20

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4x^2(2x+x^3y)+x^y = 8x^3 + (4x^5)y + x^y

When multiplying/dividing, exponents are added/subtracted respectively.

Anything to the zero power = 1

4x^5 * zero = zero

So you are left with 8x^3 +1 = ?

evaluate 4x^2(2x+x^3y)+x^y for x = 5 and y=0

4x^2(2x+x^3y)+x^y
= 4(5^2)(10 + 5^0) + 5^0
= 100( 10 + 1) + 1 , .............. anything^0 = 1
= 1100

To evaluate the expression 4x^2(2x+x^3y)+x^y for x = 5 and y = 0, follow these steps:

Step 1: Substitute the given values of x and y into the expression.

4(5)^2(2(5)+(5)^3(0))+5^0

Step 2: Simplify the expression inside the parentheses.

4(25)(10+0)+1

Step 3: Simplify any exponent expressions.

4(25)(10)+1

Step 4: Perform the multiplication.

(4)(25)(10)+1

Step 5: Continue the multiplication.

(100)(10)+1

Step 6: Perform the final multiplication.

1000+1

Step 7: Add the final terms.

1001

Therefore, the value of the expression 4x^2(2x+x^3y)+x^y, when x = 5 and y = 0, is 1001.

Now let's move on to evaluating the expression 4(x/5)^2+3 when c = 20.

To evaluate this expression, follow these steps:

Step 1: Substitute the given value of c into the expression.

4(20/5)^2+3

Step 2: Simplify the expression inside the parentheses.

4(4)^2+3

Step 3: Simplify the exponent expression.

4(16)+3

Step 4: Perform the multiplication.

64+3

Step 5: Add the final terms.

67

Therefore, the value of the expression 4(x/5)^2+3, when c = 20, is 67.