sirin5421021 sirin5421021
  • 11-03-2022
  • Mathematics
contestada

factorize x²+4xy-3+4y²


please explain it too​

Respuesta :

ᴜᴋɪʏᴏ
ᴜᴋɪʏᴏ ᴜᴋɪʏᴏ
  • 11-03-2022

Answer:

[tex]\huge\boxed{\bf\:(x + 2y)^{2} - 3}[/tex]

Step-by-step explanation:

[tex]x ^ { 2 } +4xy-3+4y ^ { 2 }[/tex]

Rearrange the terms.

[tex]x ^ { 2 } +4xy+4y ^ { 2 } - 3[/tex]

Here, x² + 4xy + 4y is in the form of the algebraic identity ⟶ x² + 2xy + y² = (x + y)². Then, here, x = 1 & y = 2y.

[tex](x + 2y)^{2} - 3[/tex]

Leave 3 as it is as 3 can't be further simplified. So, the final answer is:

[tex]\boxed{\bf\:(x + 2y)^{2} - 3}[/tex]

[tex]\rule{150}{2}[/tex]

Answer Link

Otras preguntas

Find the value of angle L
Simplify the given expression 6X-8y+9x+4y=
The __________ of powers is a key feature of the government established by the constitution.
How would you convince a friend that microorganisms are much more than just agents of disease?
What are the factors of 52
Why did the president feel like he did not have the power to allow the louisiana purchase?
Find the measure of an angle whose supplement is 10 degrees more than twice its compliment. Let 90-x equal the degree measure of its complement and 180-x equal
A psychologist is studying various behavioral and psychological factors linked to a variety of illnesses, such as cancer. This is an example of __________ psych
The Spanish inquisition grew out of Philip II's
Please help me I gotten stuck on this thank you