Question

3х(3х+7)-(3х+1)²= (y-2)(y+3)-(y-1)= (p+1)²-(p+2)²= 4x(3x+6)-(3x-5)(3x+5)= (7-x)(7+x)+(x+3)² если х= -3,5 3х(3х+7)-(3х+1)²= (y-2)(y+3)-(y-1)= (p+1)²-(p+2)²= 4x(3x+6)-(3x-5)(3x+5)= (7-x)(7+x)+(x+3)² если х= -3,5 3х(3х+7)-(3х+1)²= (y-2)(y+3)-(y-1)= (p+1)²-(p+2)²= 4x(3x+6)-(3x-5)(3x+5)= (7-x)(7+x)+(x+3)² если х= -3,5 3х(3х+7)-(3х+1)²= (y-2)(y+3)-(y-1)= (p+1)²-(p+2)²= 4x(3x+6)-(3x-5)(3x+5)= (7-x)(7+x)+(x+3)² если х= -3,5 3х(3х+7)-(3х+1)²= (y-2)(y+3)-(y-1)= (p+1)²-(p+2)²= 4x(3x+6)-(3x-5)(3x+5)= (7-x)(7+x)+(x+3)² если х= -3,5 3х(3х+7)-(3х+1)²= (y-2)(y+3)-(y-1)= (p+1)²-(p+2)²= 4x(3x+6)-(3x-5)(3x+5)= (7-x)(7+x)+(x+3)² если х= -3,5 3х(3х+7)-(3х+1)²= (y-2)(y+3)-(y-1)= (p+1)²-(p+2)²= 4x(3x+6)-(3x-5)(3x+5)= (7-x)(7+x)+(x+3)² если х= -3,5

Answer 1

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Answer 2

Let's solve each of the given expressions step by step.

1. Evaluate the expression 3х(3х+7) - (3х+1)² when х = -3.5:

Substitute х with -3.5: 3(-3.5)(3(-3.5)+7) - (3(-3.5)+1)²

Calculate the values inside the parentheses first: 3(-3.5)(-10.5 + 7) - (-10.5 + 1)²

Now, perform the multiplications and square: 3(-3.5)(-3.5) - (-9.5)² -10.5(-3.5) - 90.25

Finally, compute the result: 36.75 - 90.25 = -53.5

So, 3х(3х+7) - (3х+1)² when х = -3.5 is equal to -53.5.

2. Evaluate the expression (y-2)(y+3) - (y-1) when y = -3.5:

Substitute y with -3.5: (-3.5-2)(-3.5+3) - (-3.5-1)

Calculate the values inside the parentheses first: (-5.5)(-0.5) - (-4.5)

Now, perform the multiplications: 2.75 - (-4.5)

Finally, compute the result: 2.75 + 4.5 = 7.25

So, (y-2)(y+3) - (y-1) when y = -3.5 is equal to 7.25.

3. Evaluate the expression (p+1)² - (p+2)² when p = -3.5:

Substitute p with -3.5: (-3.5+1)² - (-3.5+2)²

Calculate the values inside the parentheses first: (-2.5)² - (-1.5)²

Now, perform the square operations: 6.25 - 2.25

Finally, compute the result: 4

So, (p+1)² - (p+2)² when p = -3.5 is equal to 4.

4. Evaluate the expression 4x(3x+6) - (3x-5)(3x+5) when x = -3.5:

Substitute x with -3.5: 4(-3.5)(3(-3.5)+6) - (3(-3.5)-5)(3(-3.5)+5)

Calculate the values inside the parentheses first: 4(-3.5)(-10.5+6) - (-10.5-5)(-10.5+5)

Now, perform the multiplications: 4(-3.5)(-4.5) - (-15.5)(-5.5)

Finally, compute the result: 63 - 85.25 = -22.25

So, 4x(3x+6) - (3x-5)(3x+5) when x = -3.5 is equal to -22.25.

5. Evaluate the expression (7-x)(7+x) + (x+3)² when x = -3.5:

Substitute x with -3.5: (7-(-3.5))(7+(-3.5)) + (-3.5+3)²

Calculate the values inside the parentheses first: (7+3.5)(7-3.5) + (-0.5)²

Now, perform the multiplications and square: 10.5 * 3.5 + 0.25

Finally, compute the result: 36.75 + 0.25 = 37

So, (7-x)(7+x) + (x+3)² when x = -3.5 is equal to 37.

To summarize the results:

1. 3х(3х+7) - (3х+1)² when х = -3.5: -53.5
2. (y-2)(y+3) - (y-1) when y = -3.5: 7.25
3. (p+1)² - (p+2)² when p = -3.5: 4
4. 4x(3x+6) - (3x-5)(3x+5) when x = -3.5: -22.25
5. (7-x)(7+x) + (x+3)² when x = -3.5: 37