Question

By factorize the binomial(a2b2-y4) is​

Answer 1

Answer:

– b)

Sol:

Given:[latex]x^{4} – y^{4} [/latex]

=[latex]x^{4} – y^{4} = (x^{2})^{2} – (y^{2}) ^{2}[/latex]

The given identity is

= [latex]a^{2} – b^{2} = (a + b) (a – b) [/latex]

=[latex] (x^{2})^{2} – (y^{2})^{2} = (x^{2} + y^{2}) (x^{2} – y^{2})[/latex]

= [latex](x^{4}) – (y^{4}) = (x^{2} + y^{2}) (x^{2} – y^{2})[/latex]

Here we have

[latex]x^{2} – y^{2} = (x + y) (x – y)[/latex]

Therefore, [latex]x^{4} – y^{4} = (x^{2} + y^{2}) (x + y) (x – y)[/latex