Question

Answer 1

a) =2x(x^2-25)
b)=x(x-6)+(3-2y)(3+2y)
c)=x^2-2x-5x+10=x(x-2)-5(x-2)=(x-5)(x-2)

Answer 2

a)\(2x^3-50x=2x\left(x^2-25\right)\)

b)\(x^2-6x+9-4y^2=\left(x^2-6x+9\right)-4y^2=\left(x-3\right)^2-\left(2y\right)^2=\left[\left(x-3\right)-2y\right]\left[\left(x-3\right)+2y\right]=\left(x-3-2y\right)\left(x-3+2y\right)\)

c)\(x^2-7x+10=x^2-2x-5x+10=\left(x^2-2x\right)-\left(5x-10\right)=x\left(x-2\right)-5\left(x-2\right)=\left(x-2\right)\left(x-5\right)\)