Makakuha ng mga solusyon sa iyong mga katanungan sa Imhr.ca, ang mabilis at tumpak na Q&A platform. Tuklasin ang mga solusyon sa iyong mga tanong mula sa mga bihasang propesyonal sa iba't ibang larangan sa aming komprehensibong Q&A platform. Kumuha ng detalyado at eksaktong sagot sa iyong mga tanong mula sa dedikadong komunidad ng mga eksperto sa aming Q&A platform.
Sagot :
Just factor all;
1) 4x² - 12x =
The GCF is 4x
Dividing (4x² - 12x) / 4x will give you x-3
So, the answer is 4x (x - 3)
2) 9m² - 16n² =
This is a special product called Difference of two squares since 9m² and 16n² are perfect squares.
So, the answer must be (3m - 4n) (3m + 4n)
3) 4a² + 12a + 9 =
This is also another special product called Square of the Sum since it fits the process of it.
So the answer is (2x + 3) (2x + 3)
4) 2x² + 9x - 5 =
I don't see this as a special product but just a factorable equation.
Use 2 [from the 1st term] and 5 [from the last term] as your basis
1, 2 are the factors of 2
1, -1, 5, -5 are the factors of -5
After a lot of Trial and Error.
The factors are (2x - 1) (x + 5)
5) 27x³ - 8y ³ =
This is also a famous special product called as the Differencew of 2 Cubes.
(3x - 2y) (9x² + 6xy + 4y²)
6) a³ + 125b³ =
This is yet another special product called Sum of Two Cubes.
Therefore, the answer should be (a + 5b) (a² - 5ab + 25b)
7) xm + hm - xn - hn =
This can be factored out by using the process called Grouping.
This is to "group" the polynomial into 2 binomials which can be extracted later on.
To use this process you need to group terms with similiar factors.
xm + hm - xn - hn
Grouping this into 2 groups will give
(xm - xn) and (hm - hn)
Now factor out the two
First with (xm - xn)
This will give you x and (m - n)
Now with (hm - hn)
This will give you h and (m - n)
Now see how they are related.
(m - n) is the first factor while combining x and h will give you (x + h) the second factor.
Therefore, (m - n) (x + h) are the factors.
1) 4x² - 12x =
The GCF is 4x
Dividing (4x² - 12x) / 4x will give you x-3
So, the answer is 4x (x - 3)
2) 9m² - 16n² =
This is a special product called Difference of two squares since 9m² and 16n² are perfect squares.
So, the answer must be (3m - 4n) (3m + 4n)
3) 4a² + 12a + 9 =
This is also another special product called Square of the Sum since it fits the process of it.
So the answer is (2x + 3) (2x + 3)
4) 2x² + 9x - 5 =
I don't see this as a special product but just a factorable equation.
Use 2 [from the 1st term] and 5 [from the last term] as your basis
1, 2 are the factors of 2
1, -1, 5, -5 are the factors of -5
After a lot of Trial and Error.
The factors are (2x - 1) (x + 5)
5) 27x³ - 8y ³ =
This is also a famous special product called as the Differencew of 2 Cubes.
(3x - 2y) (9x² + 6xy + 4y²)
6) a³ + 125b³ =
This is yet another special product called Sum of Two Cubes.
Therefore, the answer should be (a + 5b) (a² - 5ab + 25b)
7) xm + hm - xn - hn =
This can be factored out by using the process called Grouping.
This is to "group" the polynomial into 2 binomials which can be extracted later on.
To use this process you need to group terms with similiar factors.
xm + hm - xn - hn
Grouping this into 2 groups will give
(xm - xn) and (hm - hn)
Now factor out the two
First with (xm - xn)
This will give you x and (m - n)
Now with (hm - hn)
This will give you h and (m - n)
Now see how they are related.
(m - n) is the first factor while combining x and h will give you (x + h) the second factor.
Therefore, (m - n) (x + h) are the factors.
3. the factors are (2a+3) (2a+3)..
6. the factors are (a+5b) ( a^2-5ab+25b^2)
6. the factors are (a+5b) ( a^2-5ab+25b^2)
Salamat sa iyong pagbisita. Kami ay nakatuon sa pagbibigay sa iyo ng pinakamahusay na impormasyon na magagamit. Bumalik anumang oras para sa higit pa. Salamat sa paggamit ng aming plataporma. Layunin naming magbigay ng tumpak at napapanahong mga sagot sa lahat ng iyong mga katanungan. Bumalik kaagad. Mahalaga ang iyong kaalaman. Bumalik sa Imhr.ca para sa higit pang mga sagot at impormasyon.