Factorise the following expressions:-
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5)
P²+8P+16
=P²+4P+4P+16
=P(P+4)+4(P+4)
=(P+4)(P+4)
OR
P²+8P+16
=P²+2.P.4+4²
=(P+4)² [(a+b)² = a²+2ab+b²]
= (P+4)(P+4)
6)
x⁴-10x²y²+25y⁴
=(x²)²-2.x².5y²+(5y²)²
=(x²-5y²)² [(a-b)² = a²-2ab+b²]
=(x²-5y²)(x²-5y²)
7)
25a²-4
=(5a)²-(2)²
=(5a+2)(5a-2) [(a²- b² = (a+b)(a-b)]
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