=a? -(3b)?
=(a+3b)(a-3b)
Solution (2)-16m? +(m-n)?
=(m-n)? - 16m?
=(m-n)? -(4m)?
=[(m-n)+4m][(m-n)-4m]
=(5m-n)(-3m-n)
=-(5m-n)(3m+n)
Solution (3) (x-2y)? -4(2x-y)?
=(x-2y)? -[2(2x-y)]?
=[(x-2y)+2(2x-y)][(x-2y)-2(2x-y)]
=(x-2y+4x-2y)(x-2y-4x+2y)
=-3 times (5 times -4 times)
Solution (4) a? (x-y)-b? (x-y)
=(x-y)(a? -B? )
=(x-y)(a+b)(a-b)
The solution (5)16m4-n 4 represents a power.
=(4m? )-(n? )?
=(4m? +n? )(4m? -n? )
=(4m? +n? )(2m+n)(2m-n)
Solution (6) (a+b+c+d)? -(a-b+c-d)?
=[(a+b+ c+d)+(a-b+ c-d)][(a+b+ c+d)-(a-b+ c-d)]
=(a+b+ c+d+a-b+ c-d)(a+b+ c+d-a+B- c+d)
=(2a+2c(2b+2d)
=4(a+c)(b+d)