How to solve 105 imes105

1. Factor the equation (x + 2)(x + 3) = 0. 2. Set each factor equal to zero: x + 2 = 0 and x + 3 = 0. 3. Solve for x: x = -2 and x = -3.

Solve 105\times105 | Equatix

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Question

$$105 \times 105$$

Evaluate

$11025$

Steps For Long Multiplication

First line up the numbers vertically and match the places from the right like this.

$$\begin{array}{c}\phantom{\times99}105\\\underline{\times\phantom{99}105}\\\end{array}$$

Now multiply the first number with the $1^{st}$ digit in $2^{nd}$ number to get intermediate results. That is Multiply 105 with 5. Write the result 525 at the end leaving 0 spaces to the right like this.

$$\begin{array}{c}\phantom{\times99}105\\\underline{\times\phantom{99}105}\\\phantom{\times99}525\\\end{array}$$

Now multiply the first number with the $2^{nd}$ digit in $2^{nd}$ number to get intermediate results. That is Multiply 105 with 0. Write the result 0 at the end leaving 1 spaces to the right like this.

$$\begin{array}{c}\phantom{\times99}105\\\underline{\times\phantom{99}105}\\\phantom{\times99}525\\\phantom{\times9999}0\phantom{9}\\\end{array}$$

Now multiply the first number with the $3^{rd}$ digit in $2^{nd}$ number to get intermediate results. That is Multiply 105 with 1. Write the result 105 at the end leaving 2 spaces to the right like this.

$$\begin{array}{c}\phantom{\times99}105\\\underline{\times\phantom{99}105}\\\phantom{\times99}525\\\phantom{\times9999}0\phantom{9}\\\underline{\phantom{\times}105\phantom{99}}\\\end{array}$$

Now add the intermediate results to get final answer.

$$\begin{array}{c}\phantom{\times99}105\\\underline{\times\phantom{99}105}\\\phantom{\times99}525\\\phantom{\times9999}0\phantom{9}\\\underline{\phantom{\times}105\phantom{99}}\\\phantom{\times}11025\end{array}$$

Show Solution

Factor

$3^{2}\times 5^{2}\times 7^{2}$