Find product of :(2x-y)(2x+3y).

Mathematics

1 answer:

Ierofanga [76]2 years ago

7 0

Answer: 4x² + 4xy - 3y²

Concept:

When encountering questions that ask for simplifying algebraic expressions, using the FOIL method would be easier:

First, which means multiplying the first terms together;
Outer, which means that we multiply the outermost terms when the binomials are placed side by side;
Inner, which means multiply the innermost terms together;
Last, which means that we multiply the last term in each binomial together.

Solve:

Given

(2x - y) (2x + 3y)

Expand parentheses and apply the FOIL method

=4x² + 6xy - 2xy - 3y²

Combine like terms

=4x² + (6xy - 2xy) - 3y²

= $\boxed{4x^2+4xy-3y^2}$

Hope this helps!! :)

Please let me know if you have any questions

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How do u do b??????????

horrorfan [7]

the assumption being that the first machine is the one on the left-hand-side and the second is the one on the right-hand-side.

the input goes to the 1st machine and the output of that goes to the 2nd machine.

if she uses and input of 6 on the 2nd one, the result will be 6² - 6 = 30, if we feed that to the 1st one the result will be √( 30 - 5) = √25 = 5, so, simply having the machines swap places will work to get a final output of 5.

clearly we can never get an output of -5 from a square root, however we can from the quadratic one, the 2nd machine/equation.

let's check something, we need a -5 on the 2nd, so

$\bf \underset{final~out put}{\stackrel{y}{-5}}=x^2-6\implies 1=x^2\implies \sqrt{1}=x\implies 1=x$

so if we use a "1" as the output on the first machine, we should be able to find out what input we need, let's do that.

$\bf \underset{first~out put}{\stackrel{y}{1}}=\sqrt{x-5}\implies 1^2=x-5\implies 1=x-5\implies 6=x$

so if we use an input of 6 on the first machine, we should be able to get a -5 as final output from the 2nd machine.

$\bf \stackrel{first~machine}{y=\sqrt{\boxed{6}-5}}\implies y=\sqrt{1}\implies y=1 \\\\\\ \stackrel{second~machine}{y = \boxed{1}^2-6}\implies y = 1-6\implies y = -5$

5 0

2 years ago

Mr. Simpson is buying jerseys for his High School football team. Thejerseys cost $0 each and there is a processing fee of $65 to

Rina8888 [55]

ANSWER

The linear equation is: y = 80x + 65

Te cost for 40 football jerseys: $3265

EXPLANATION

Let 'x' be the number of jerseys and 'y' the cost of x jerseys.

Each jersey costs $80, so the cost of x jerseys is 80x. There's also an extra fee for procesing of $65, which is the same no matter how many jerseys they buy.

Therefore, the cost 'y' of x jerseys is: