Question

Multiply :(m2 - 5) × (m3 + 2m - 2)​

Answer 1

Solution : (m2 - 5) × (m3 + 2m - 2)

= m2 (m3 + 2m - 2) - 5 (m3 + 2m - 2)

= m5 + 2m3 - 2m2 - 5m3 - 10m + 10

= m5 + 2m3 - 5m3 - 2m2 - 10m + 10 (Like terms taken together.)

= m5 - 3m3 - 2m2 - 10m + 10

Here the degree of the product is 5.

Answer 2

Answer:

Step-by-step explanation:

Disclaimer:

Multiply : $\left(m^{2}-5\right) \times\left(m^{3}+2 m-2\right)$

Concept:

We will use the concept of multiplication of polynomial to solve this question.First, apply the distributive law to multiply each term in one polynomial by each term in the other polynomial. Add the powers of the same variables by applying the exponent rule. Then, simplify the resulting polynomial by including or eliminating like terms.

Given:

The expression is $\left(m^{2}-5\right) \times\left(m^{3}+2 m-2\right)$ which is given in the question.

To Find:

We have to multiply this expression and get the value.

Solution:

Here the algebraic Expression is $\left(m^{2}-5\right) \times\left(m^{3}+2 m-2\right)$ .

We can write the above expression is $m^{2} \times\left(m^{3}+2 m-2\right) - 5\times\left(m^{3}+2 m-2\right)$

Multiply all the values .

$m^{5}+2 m^{3}-2 m^{2}-5 m^{3}-10 m+10$

After further calculation, we will get $m^{5}-3 m^{3}-2 m^{2}-10 m+10$ .

Therefore,the value after multiplication is $m^{5}-3 m^{3}-2 m^{2}-10 m+10$

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