Ch-14 Factorisation
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Answer:
a. (6x-7y+5z)(6x-7y-5z)
b. (x²-1)(x²-9)
Step-by-step explanation:
a. 36x²-84xy+49y²-25z²
= [(6x)²-2(6x)(7y)+(7y)²] -(5z)²
[using identity (a-b)²= a²-2ab+b² and a²-b²= (a+b)(a-b)]
=(6x-7y)²- (5z)²
=(6x-7y+5z)(6x-7y-5z)
b. x⁴-10x²+9
=x⁴-x²-9x²+9 (using middle term split method)
=x²(x²-1)-9(x²-1)
= (x²-1)(x²-9)
Hope It Helps :)
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