1. 4X(2X-Y)+2Y(Y-2X)
2. 21(a-b)^3-35(b-a)^2
3. 4a(x+y-z)+10a^2(z-x-y)
4. (2a+b)(2a-3b)+a(2a+b)
5. 6(x-y)^3+15(y-x)^2-9(y-x)^3
1. 4X(2X-Y)+2Y(Y-2X)
2. 21(a-b)^3-35(b-a)^2
3. 4a(x+y-z)+10a^2(z-x-y)
4. (2a+b)(2a-3b)+a(2a+b)
5. 6(x-y)^3+15(y-x)^2-9(y-x)^3
1. 4X(2X-Y)+2Y(Y-2X)
=8x²-4xy+2y²-4xy
=8x²-8xy+2y²
=2(4x²-4xy+y²)
=2(2x-y)²
2、21(a-b)³-35(b-a)²
=21(a-b)³-35(a-b)²
=7(a-b)²[3(a-b)-5]
=7(a-b)²(3a-3b-5)
3、4a(x+y-z)+10a²(z-x-y)
=2a(2x+2y-2z+5az-5ax-5ay)
4、(2a+b)(2a-3b)+a(2a+b)
=(2a+b)(2a-3b+a)
=3(2a+b)(a-b)
5、6(x-y)³+15(y-x)²-9(y-x)³
=6(x-y)³+15(x-y)²+9(x-y)³
=3(x-y)²[2(x-y)+5+3(x-y)]
=15(x-y)²(x-y+1)
1. 4X(2X-Y)+2Y(Y-2X)
=(2x-y)(4x-2y)
=2(2x-y)(2x-y)
2. 21(a-b)^3-35(b-a)^2
=7(a-b)^2{3(a-b)-5)
=7(a-b)^2(3a-3b-5)
3. 4a(x+y-z)+10a^2(z-x-y)
=2a(x+y-z)(2-5a)
4. (2a+b)(2a-3b)+a(2a+b)
=(2a+b)(2a-3b+a)
=(2a+b)(3a-3b)
=3(2a+b)(a-b)
5. 6(x-y)^3+15(y-x)^2-9(y-x)^3
=3(x-y)^2{2(x-y)+5-3(y-x)}
=3(x-y)^2(5x-5y+5)
=15(x-y)^2(x-y+1)
1. 4X(2X-Y)+2Y(Y-2X)=4X(2X-Y)-2Y(2X-Y)=(2X-Y)(4x-2Y)=2(2x-y)(2x-y)=2(2x-y)^2
2. 21(a-b)^3-35(b-a)^2=21(a-b)^3-35(a-b)^2=7(a-b)^2[3(a-b)-5]=7(a-b)^2(3a-3b-5)
3. 4a(x+y-z)+10a^2(z-x-y)=4a(x+y-z)-10a^2(x+y-z)=2a(x+y-z)(2-5a)
4. (2a+b)(2a-3b)+a(2a+b)=(2a+b)(2a-3b+a)=(2a+b)(3a-3b)=3(2a+b)(a-b)
5. 6(x-y)^3+15(y-x)^2-9(y-x)^3= 6(x-y)^3+15(x-y)^2+9(x-y)^3=3(x-y)^2[2(x-y)+5+3(x-y)]
=3(x-y)^2(2x-2y+5+3x-3y)=3(x-y)^2(5x-5y+5)=15(x-y)^2(x-y+1)