- factoring completely; 9a²-25b²
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⚫️ SOLUTION ⚫️
Theory : A difference of two perfect squares
Proof : (A+B) • (A-B) =
- [tex]A^2-AB+BA-B^2 =[/tex]
- [tex]A^2-AB+AB -B^2=[/tex]
Note : AB = BA is the commutative property of multiplication.
Note : - AB + AB equals zero and is therefore eliminated from the expression
- Check : 9 is the square of 3
- Check : 25 is the square of
Factorization is : (3a + 5b) • (3a - 5b)
[tex]\huge\pink{\overline{\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad \ \ \ }}[/tex]
Final result :
(3a + 5b) • (3a - 5b)
[tex]\huge\pink{\overline{\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad \ \ \ }}[/tex]
(ノ^_^)ノ
