1) \(25x^2-y^2=\left(5x-y\right)\left(5x+y\right)\)
2) \(4-x^2=\left(2-x\right)\left(2+x\right)\)
3) \(x^2-9=\left(x-3\right)\left(x+3\right)\)
4) \(64a^2-81b^2=\left(8a-9b\right)\left(8a+9b\right)\)
5) \(x^2-y^4=\left(x-y^2\right)\left(x+y^2\right)\)
6) \(x^4-1=\left(x^2-1\right)\left(x^2+1\right)=\left(x-1\right)\left(x+1\right)\left(x^2+1\right)\)
1. (5x - y)(5x + y)
2. (2 - x)(2 + x)
3. (x - 3)(x + 3)
4. (8a - 9b)(8a + 9b)
5. y2(x - y)(x + y)
6. x2(x - 1)(x + 1)
a) \(25x^2 - y^2 \) \(= (5x)^2 - y^2 = (5x-y)(5x+y)\)
b) \(4-x^2 = (2-x)(2+x)\)
c) \(x^2-9=(x-3)(x+3)\)
d) \(64a^2-81b^2=(8a)^2 - (9b)^2 = (8a-9b)(8a+9b)\)
e) \(x^2-y^4=(x-y^2)(x+y^2)\)
f) \(x^4-1=(x^2-1)(x^2+1)\)
1: \(25x^2-y^2=\left(5x-y\right)\left(5x+y\right)\)
2: \(4-x^2=\left(2-x\right)\left(2+x\right)\)
3 \(x^2-9=\left(x-3\right)\left(x+3\right)\)
4: \(64a^2-81b^2=\left(8a-9b\right)\left(8a+9b\right)\)