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Zanzabum
4 years ago
8

Can someone show me a step by step of how a²+b² = (a+b)²-2ab ?​

Mathematics
1 answer:
Debora [2.8K]4 years ago
5 0

Answer:

Step-by-step explanation:

(a + b)^{2} = (a + b) * (a + b) = a*a + a*b + a*b + b*b = a^{2} + 2ab + b^{2} \\\\Therefore, \\\\(a + b)^{2} - 2ab = a^{2} + b^{2}

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Which graph represents the solution set for the system x + 2y 3, x + y 4, and 3x − 2y 4?
Lerok [7]

x + 2y + 3 = 0
Subtract x from both sides.
2y + 3 = -x
Subtract 3 from both sides.
2y = -x - 3
Divide by 2 on both sides
y = -(x+3)/2

x + y + 4 = 0
Subtract x and 4 from both sides
y = -x - 4

3x - 2y + 4 = 0
Subtract 3x and 4 from both sides.
-2y = -3x -4
Divide by -2 from both sides.
y = -(3x + 4) / 2

The answer is the graph that contains these slopes and lines on the graph, which was not provided.

4 0
4 years ago
Verbal expression for 3x^2
slega [8]
One expression could be three x to the power of two. Let me know if that's right :)
6 0
3 years ago
Simplify the expression (2-5 root 6) times 3 root 2
lys-0071 [83]

Answer:

6(√2 - 5√3).

Step-by-step explanation:

3√2 ( 2 - 5 √6)

= 6√2 - 15√12

= 6√2 - 15√4√3

= 6√2 - 30√3

= 6(√2 - 5√3)

6 0
3 years ago
Use the lim f(x)-f(a)/x-a to find the derivative.
Tresset [83]
Hello,

f(x)-f(a)= -3x²-5x+1-(-3a²-5a+1)=-3(x²-a²)-5(x-a)=-3(x-a)(x+a)-5(x-a)
=-(x-a)(3(x+a)+5)
=-(x-a)(3x+3a+5)

lim (f(x)-f(a))/(x-a)=- lim (3x+3a+5)=3a+3a+5=-6a-5
if a=1==>-6*1-5=-11

Otherwise
f'(x)=-6x-5
f'(1)=-6-5=-11



at point(1,-7)

4 0
3 years ago
How do I solve this and what’s the answer?
Varvara68 [4.7K]

Answer:

Mike can go 124 miles

Step-by-step explanation:

Car rent = $29.20

However, a customer has to pay $0.20 for every mile.

Mike has $54 to spend on the car for a day.

If he pays the car rent which is $29.20, then he has

$54 - $29.20 = $24.80 remaining

1 mile = $0.20

x miles = $24.80

By cross multiplication

0.20x = 1 * 24.80

x = 24.80/0.20

x = 124 miles

6 0
3 years ago
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