Question

can anyone tell me question no12346answer

Answer 1

1)4-x^2+6xy-9y^2
4-(x^2-6xy+9y^2)
4-(x^2-2(x)(3y)+3y^2)
4-(x-3y)^2 [a^2-2ab+b^2]
2^2-(x-3y)^2 [a^2-b^2=(a+b)(a-b)]
(2+x-3y)(2-x+3y)

2)x^3-3x^2-180x
x(x^2-3x-180)
x(x^2+12x-15x-180)
x[x(x+12)-15(x+12)]
x(x-15)(x+12)

3)36x^2y^2-(4x-3)^2
36x^2y^2-[(4x)^2-2(4x)(3)+3^2]
36x^2y^2-(16x^2-36x+9)
36x^2y^2-16x^2+36x-9

4)18×23
(20-2)(20+3)[x+a][x+b]=[x^2+(a+b)x+ab
[20+(-2)][20+(3)]=(20)^2+(-2+3)20+(-2×3)
=400+20-6
=400-14
=386

5)(31)^2
( 30+1)^2=[a^2+2ab+b^2
=(30)^2+2(30)(1)+1^2
=900+60+1
=961


6)48×52 [a+b][a-b]=a^2-b^2
(50-2)(50+2)=(50)^2-(2)^2
=2500-4=2496