Factorise: a^12x^4-a^4x^12
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Answered by
11
Answer:
hope you like this answer
a¹².y⁴ - a⁴.y¹²
you can write a¹² = a⁴.a^8
again, y¹² = y⁴.y^8
now use this,
= a⁴.a^8.y⁴ - a⁴.y⁴.y^8
you see that a⁴.y⁴ are common terms in both so,
= a⁴.y⁴( a^8 - y^8)
[ use,formula , x² - y² = (x - y)(x + y) ]
= a⁴.y⁴(a⁴ - y⁴)(a⁴ + y⁴)
=a⁴.y⁴(a² - y²)(a² + y²)(a⁴+y⁴)
=a⁴.y⁴(a - y)(a+ y)(a²+y²)(a⁴ + y⁴)
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Answered by
9
Answer:
(a⁶x² + a²x⁶)(a⁶x² - a²x⁶) is the answer
Step-by-step explanation:
a¹²x⁴ - a⁴x¹²
(a⁶x²)² - (a²x⁶)²
use formula
a² - b² = (a + b)(a - b)
(a⁶x² + a²x⁶)(a⁶x² - a²x⁶)
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