Question

(2x^2 - 3x^3) × (x^3 + x^2)​

Answer 1

Answer:

Hence product will be 2{x}^{5} + 2{x}^{4} - 3{x}^{6} - 3{x}^{5}

Step-by-step explanation:

In context to questions asked

We have to determine the value of products

As per questions

We have

$(2 {x}^{2} - 3{x}^{3} ) \times ({x}^{3} + {x}^{2} )$

So here we. used the identity

$(a - b)(c + d) = ac + ad - bc - bd$

So applying the identity we will get

$(2{x}^{2} - 3{x}^{3} ) \times ({x}^{3} + {x}^{2} ) \\ = >( 2{x}^{2} \times {x}^{3} ) + (2{x}^{2} \times {x}^{2} ) - (3{x}^{3} \times {x}^{3} ) - (3{x}^{3} \times {x}^{2} ) \\ = > 2{x}^{5} + 2{x}^{4} - 3{x}^{6} - 3{x}^{5}$