Westonci.ca is the premier destination for reliable answers to your questions, brought to you by a community of experts. Ask your questions and receive detailed answers from professionals with extensive experience in various fields. Join our platform to connect with experts ready to provide precise answers to your questions in different areas.
Sagot :
1.(n-2)(3n+7)+2n(2n+3)
We'll start with (n-2)(3n+7)
Use the FOIL method to simplify: First, Outside, Inside, Last.
Multiply the first numbers of each bracket (n and 3n), the outside numbers (n and 7), the inside numbers (-2 and 3n) and the last numbers (-2 and 7)
F= 3n×n= 3n²
O= n×7= 7n
I= -2×3n= -6n
L= -2×7= -14
Add them together, you get 3n² + n -14.
The second part is 2n(2n+3)
Multiply both numbers inside the bracket by 2n
2n×2n= 4n²
3×2n= 6n
Add these terms with the previous ones
7n² + 7n -14
Because they all have a common factor of 7, we can represent the equation as
7(n² + n -2)
2. 4x²-25
To factor this, we convert it into two expressions that we multiply together (like converting -9 into 3×-3)
2x × 2x= 4x²
5 × -5= -25
The answer is (2x+5)(2x-5)
We'll start with (n-2)(3n+7)
Use the FOIL method to simplify: First, Outside, Inside, Last.
Multiply the first numbers of each bracket (n and 3n), the outside numbers (n and 7), the inside numbers (-2 and 3n) and the last numbers (-2 and 7)
F= 3n×n= 3n²
O= n×7= 7n
I= -2×3n= -6n
L= -2×7= -14
Add them together, you get 3n² + n -14.
The second part is 2n(2n+3)
Multiply both numbers inside the bracket by 2n
2n×2n= 4n²
3×2n= 6n
Add these terms with the previous ones
7n² + 7n -14
Because they all have a common factor of 7, we can represent the equation as
7(n² + n -2)
2. 4x²-25
To factor this, we convert it into two expressions that we multiply together (like converting -9 into 3×-3)
2x × 2x= 4x²
5 × -5= -25
The answer is (2x+5)(2x-5)
[tex]1.\\(n-2)(3n+7)+2n(2n+3)\\\\=n\cdot3n+n\cdot7-2\cdot3n-2\cdot7+2n\cdot2n+2n\cdot3\\\\=3n^2+7n-6n-14+4n^2+6n\\\\=7n^2+7n-14[/tex]
==============================================================
[tex]2.\\4x^2-25=(2x)^2-5^2=(2x-5)(2x+5)[/tex]
==============================================================
[tex]2.\\4x^2-25=(2x)^2-5^2=(2x-5)(2x+5)[/tex]
We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. We hope our answers were useful. Return anytime for more information and answers to any other questions you have. We're glad you chose Westonci.ca. Revisit us for updated answers from our knowledgeable team.