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3 years ago

5

(3×²+5y²)³= (2y³-×5)²=

1 answer:

irakobra [83]3 years ago

7 0

First one:
(3x^2+5y^2)^3
Step 1: Use the binomial theorem to expand
(3x^2)+3(3x^2)^2(5y^2)+3(3x^2)(5y^2)2+(5y^2)^3
Step 2: Simplify each term
27(x^2)^3+3(3x^2)^2(5y^2)+3(3x^2)(5y^2)^2+(5y^2)^3
Step 3: Multiply the exponents
27x^6+27x^4(5y^2)+3(3x^2)(5y^2)^2+(5y^2)^3
27x^5+135x^4y^2+3(3x^2)(5y^2)^2+(5y^2)^3
Keep going to get the final answer:
27x^6+135x^4y^2+225x^2y^4+125y^6

2nd question: (2y^3-5x)^2
Do the same thing...step by step
Answer: 4y^6-20xy^3+25x^2

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6x+3(4x-2)=5(2x-8) the answer is -17/4 but can someone explain how to get that answer? plz help lol

Sergeu [11.5K]

Answer:

<h2> $x = - \frac{17}{4}$ </h2>

Step-by-step explanation:

$6x + 3(4x - 2) = 5(2x - 8)$

Expand the terms in the bracket and simplify

That's

$6x + 12x - 6 = 10x - 40 \\ 18x - 6 = 10x - 40$

Using the subtraction property subtract 10x from both sides of the equation

$18x - 10x - 6 = 10x - 10x - 40 \\ 8x - 6 = - 40$

<u>Add 6 to both sides of the equation</u>

$8x + 6 - 6 = - 40 + 6 \\ 8x = - 34$

<u>Divide both sides by 8</u>

$\frac{8x}{8} = - \frac{34}{8}$

<u>Reduce the fraction with 2</u>

We have the final answer as

$x = - \frac{17}{4}$

Hope this helps you

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3 years ago

Which list shows the numbers in order from least to greatest?

dem82 [27]

Answer:

7.41, 7.6, 745

Step-by-step explanation:

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3 years ago

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What is the lcm 3 and 10

alukav5142 [94]

30, you could just multiply both numbers, but it's also better to list out the factor until both match

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3 years ago

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Solve for r in terms of s, t, and u. <br> t=u-s+r

Verdich [7]

Answer:

r = t - u - s

Step-by-step explanation:

To solve for r in terms of s, t, and u, means to have r on one side and have t, u, and s.

t = u - s + r

t - u = s + r

t - u - s = r

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2 years ago

The sides of a rectangular field are

Lyrx [107]

Answer:

Step-by-step explanation

Perimeter of a rectangle =2(length +breadth)

90m = 2{(36x+2) + (2(x+2)}

Opening the inner brackets,

90 = 2{36x +2+2x +4}

90 = 2{38x +6}

Open the brackets

90 = 76x + 12

Collect like terms

90 - 12 = 76x

78=76x

Divide 78 by the coefficient of x

x = 78÷76

x =1.03m (2d.p)

Substitute the value of x into the expressions for the two sides of the rectangle

36x+2 =(36×1.03) +2= 37.08+2=39.08m

2(x+2)= 2(1.03+2)= 2(3.03) =2×3.03= 6.06m

The approximate values of the two sides of d rectangular field are 39.08m and 6.06m

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