how to factorise a⁴-b⁴
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The factorization of a⁴-b⁴ is (a²+b²)(a+b)(a-b)
Step-by-step explanation:
The given expression is
a⁴-b⁴
Write this expression in perfect square form
(a²)²-(b²)²
Use the formula for difference of squares: x²-y²=(x+y)(x-y)
(a²+b²)(a²-b²)
Again apply the formula for difference of squares
(a²+b²)(a+b)(a-b)
Thus, the factorization of a⁴-b⁴ is (a²+b²)(a+b)(a-b)
#Learn More:
Factorise this.
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