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3 years ago

20 points! Simplify: 2y(2y+3yx^{2} )-y^{2} (3-y) please show work!

Mathematics

1 answer:

arlik [135]3 years ago

4 0

Answer:

8x2y - 6x2 - 8xy2 - y2

Step-by-step explanation:

Equation at the end of step 1 :

(((((5•(x2))•y)-(5•(x2)))+(3y•(x2)))-(3•(y2)))-((((x2)+(y2))+(8x•(y2)))-3y2)

Step 2 :

Equation at the end of step 2 :

(((((5•(x2))•y)-(5•(x2)))+(3y•(x2)))-(3•(y2)))-((((x2)+(y2))+23xy2)-3y2)

Step 3 :

Equation at the end of step 3 :

(((((5•(x2))•y)-(5•(x2)))+(3y•(x2)))-3y2)-(x2+8xy2-2y2)

Step 4 :

Equation at the end of step 4 :

(((((5•(x2))•y)-(5•(x2)))+3x2y)-3y2)-(x2+8xy2-2y2)

Step 5 :

Equation at the end of step 5 :

(((((5•(x2))•y)-5x2)+3x2y)-3y2)-(x2+8xy2-2y2)

Step 6 :

Equation at the end of step 6 :

((((5x2•y)-5x2)+3x2y)-3y2)-(x2+8xy2-2y2)

Step 7 :

Final result :

8x2y - 6x2 - 8xy2 - y2

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Simplify the expression (x^3- 5x^2 + 7x - 12) ÷ (x – 4) using long division

Kisachek [45]

Answer:

${x}^{2} - x + 3$

Step-by-step explanation:

Instead, since the divisor is in the form of $x - c$ , use what is called Synthetic Division. Remember, in this formula, $-c$ gives you the OPPOSITE terms of what they really are, so do not forget it. Anyway, here is how it is done:

4| 1 −5 7 −12

↓ 4 −4 12

_______________

1 −1 3 0 → ${x}^{2} - x + 3$

You start by placing the $c$ in the top left corner, then list all the coefficients of your dividend [x³ - 5x² + 7x - 12]. You bring down the original term closest to $c$ then begin your multiplication. Now depending on what symbol your result is tells you whether the next step is to subtract or add, then you continue this process starting with multiplication all the way up until you reach the end. Now, when the last term is 0, that means you have no remainder. Finally, your quotient is one degree less than your dividend, so that 1 in your quotient can be an ${x}^{2}$ , the −1 [ $x$ ] follows right behind it, and bringing up the rear, comes the 3, giving you the quotient of ${x}^{2} - x + 3$ .

I am joyous to assist you anytime.

5 0

4 years ago

A pigpen is to be enclosed using 640 m of fencing along three of its sides, the fourth side being a barn. Determine the dimensio

Basile [38]

Answer:

$W_{max}=480m\\ L_{max}=160m$

Step-by-step explanation:

Since we know we only have 640 feet of fence available, we know that L + W + L = 640, $\implies$ 2L + W = 640. This allows us to represent the width, W, in terms of L: W = 640 – 2L

Remember, the area of a rectangle is equal to the product of its width and length, therefore,

$A_{\rm pigpen}=L(640-2L)\implies 640L-2L^2$

Notice that, quadratic has been vertically reflected, since the coefficient on the squared term is negative, so the graph will open downwards, and the vertex will be a maximum value for the area.

recall,