Question

FIND THE PRODUCT:
${x}^{3} {x}^{2} ( {x}^{2} + {y}^{2} + {z}^{2})$
​

Answer 1

Step-by-step explanation:

We need to find product of (x+y+z) and (x+y−z)

Their product is x(x+y−z)+y(x+y−z)+z(x+y−z)

=x

2

+xy−xz+xy+y

2

−yz+zx+yz−z

2

=x

2

+y

2

−z

2

+2xy

Answer 2

$\color{red} \rm {x}^{3} \times {x}^{2} ( {x}^{2} + {y}^{2} + {z}^{2} )$

$\color{blue} \rm \to {x}^{5} ( {x}^{2} + {y}^{2} + {z}^{2} )$

$\color{pink} \rm \to {x}^{7} + {x}^{5} {y}^{2} + {x}^{5} {z}^{2}$