Question

4) 3x²(x + 1 ) - 2( x + 1 )

5) ( a + b + c )² - ( ab + bc + ca )(a + b + c ) + ( a + b + c )

6) 4x²( x - 2y) - 20x( 2y - x)

7) 3x²y² ( a - b + c ) + 2xy ( b - a - c )

 

Answer 1

4) \(3x^2\left(x+1\right)-2\left(x+1\right)=\left(x+1\right)\left(3x^2-2\right)\)

5) \(\left(a+b+c\right)^2-\left(ab+bc+ca\right)\left(a+b+c\right)+\left(a+b+c\right)\)

\(=\left(a+b+c\right)\left(a+b+c-ab-bc-ca+1\right)\)

6) \(4x^2\left(x-2y\right)-20x\left(2y-x\right)=4x^2\left(x-2y\right)+20x\left(x-2y\right)=4x\left(x-2y\right)\left(x+5\right)\)

7) \(3x^2y^2\left(a-b+c\right)+2xy\left(b-a-c\right)=3x^2y^2\left(a-b+c\right)-2xy\left(a-b+c\right)\\ =xy\left(a-b+c\right)\left(3xy+2\right)\)