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MrRa [10]
1 year ago
15

find an expression that represents the difference when (3x+6y)(3x+6y) is subtracted from (4x+9y)(4x+9y) in simplest terms. what

would the answer be
Mathematics
1 answer:
love history [14]1 year ago
6 0

The difference between (3x+6y)(3x+6y) and  (4x+9y)(4x+9y) is 7x² +36xy+45y²

<h3>What is an Expression ?</h3>

An expression is a mathematical statement which has variables , constants and mathematical operators  simultaneously.

The expression given in the question is

(3x+6y)(3x+6y) and  (4x+9y)(4x+9y)

the difference when (3x+6y)(3x+6y) is subtracted from (4x+9y)(4x+9y)

(4x+9y)(4x+9y) -  (3x+6y)(3x+6y)

16 x² + 36xy+36xy +81y²-9x²-18x -18x -36y²

7x² +36xy+45y²

Therefore in simplest term , The difference between (3x+6y)(3x+6y) and  (4x+9y)(4x+9y) is 7x² +36xy+45y²

To know more about Expression

brainly.com/question/15245739

#SPJ1

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Answer:

<h3>x = 5</h3>

Step-by-step explanation:

f(x) = 2(x + 6)

f(x) = 22

thereofre we have the equation:

2(x + 6) = 22      <em>use distributive property</em>

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2x = 10     <em>divide both sides by 2</em>

x = 5

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6 0
1 year ago
9. Simran had some ₹2 and ₹ 5 coins.She exchanged them for ₹ 10 coins. If the number of ₹ 5 coins is one less than the number of
sertanlavr [38]

Answer:

Step-by-step explanation:

Let x be the number of 2 coins and y be the number of 5 coins. Let z be the number of 10 coins she exchanged. Then, we have the first equation

2x+5y = 10z

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2x+5(x-1) = 10z

which is equivalent to

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If we add 5 on both sides and factor out on the right by 5 we get

7x = 5(2z+1)

We can solve for x and get

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Since x represents the number of 2 coins, we must have that x is an integer. That is, we cannot have, for example 1.5 2 coins. Since 7 doesn't divide 5, we must have that 7 divides 2z+1. That is, the value of z is such that the number 2z+1 is multiple of 7. That is 2z+1 = 7p where p is an integer.

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