1.

4. Factorise :(i) 25x2 - y2(iv) 4 - 25x2(vii) (x + y)2 - 1(ii) 25x2 - 16y2(v) 36 - 22(viii) x4 - 1(iii) 1-9x2(vi) x2 - 81y2(ix) x4 - Y6algebraic expression​

Answer»

ANSWER:

(i) 25x

2

−y

2

=(5X)

2

−y

2

[∵a

2

−b

2

=(a−b)(a+b)]

(5x−y)(5x+y)

(ii) 4−25x

2

=(2)

2

−(5x)

2

[∵a

2

−b

2

=(a−b)(a+b)]

=(2−5x)(2+5x)

(III) (x+y)

2

−1 [∵(a+b)

2

=a

2

+b

2

+2ab,a

2

−b

2

=(a−b)(a+b)]

=(x+y)

2

−(1)

2

=(x+y−1)(x+y+1)


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