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
[tex](2 {x}^{2} - 3{x}^{3} ) \times ({x}^{3} + {x}^{2} )[/tex]
So here we. used the identity
[tex](a - b)(c + d) = ac + ad - bc - bd[/tex]
So applying the identity we will get
[tex](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} [/tex]
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Answers & Comments
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
[tex](2 {x}^{2} - 3{x}^{3} ) \times ({x}^{3} + {x}^{2} )[/tex]
So here we. used the identity
[tex](a - b)(c + d) = ac + ad - bc - bd[/tex]
So applying the identity we will get
[tex](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} [/tex]