Question

(1).(9y^2)-8x^2 (2).1-25x^2 (3).25/9m^2-16n^2 （4）.(x+y)^2-(y

Answer 1

1.(9y²)-8x²

=(3y)²-(2√2x)²

=(3y+2√2x)(3y-2√2x)

2.1-25x²

=(1)²-(5x)²

=(1+5x)(1-5x)

3.25/9m²-16n²

=(5/3m)²-(4n)²

=(5/3m+4n)(5/3m-4n)

4.(x+y)²-(y-x)²

=[(x+y)-(y-x)][(x+y)+(y-x)]

=2x*2y

=4xy

5.x^4-16

=(x²)²-4²

=(x²-4)(x²+4)

=(x-2)(x+2)(x²+4)

6.9x^4-36y²

=(3x²)²-(6y)²

=(3x²-6y)(3x²+6y)

=9(x²-2y)(x²+2y)

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