Question

Subtract the sum of (-2z+5) and (- x2 - z+2) from (5x2 - y + z + 7).

Answer 1

Step-by-step explanation:

sum of -2z+5 and -x^2 - z + 2 is

= -x^2 -3z +7

now, 5x^2 - y +z +7 -

- x^2 - 3z +7

= 6 x^2 -y +4z

Answer 2

Given :

Expressions -

• (-2z + 5) , (-x² - z + 2) and (5x² - y + z + 7)

‎

To do :

• Subtract the sum of (-2z + 5) and (-x² - z + 2) from (5x² - y + z + 7)

‎

Things to know :

Some important things to keep in mind while adding or subtracting algebraic expressions :

• We can just add the like terms i.e., terms with same variables and power or degree.
• We need to pay attention to the signs while removing the brackets.

Also, this type of question follows basic pattern i.e.,

• Removing the brackets and making appropriate changes in signs.
• Arranging the like terms together.
• Finally adding or subtracting the‎m

This are more than enough to add or subtract any algebraic expressions.

‎

Solution :

We would do this question step wise.

⋆ Sum of (-2z + 5) and (-x² - z + 2) :

$\sf\:(-2z+5)+(-x^{2}-z+2)$

$\sf\longrightarrow\:-2z+5-x^{2}-z+2$

$\sf\longrightarrow\:-2z-z+5+2-x^{2}$

$\sf\longrightarrow\:-3z+7-x^{2}$

$\small{\underline{\boxed{\mathrm{\longrightarrow\:-x^{2}-3z+7}}}}$

‎

⋆ Subtracting the sum of (-2z + 5) and (-x² - z + 2) from (5x² - y + z + 7)

Sum of (-2z + 5) and (-x² - z + 2) = (-x² - 3z + 7)

Therefore,

$\sf\:(5x^{2}-y+z+7) -(-x^{2}-3z+7)$

$\sf\longrightarrow\:5x^{2}-y+z+7+ x^{2}+3z-7$

$\sf\longrightarrow\:5x^{2}+x^{2}-y+z+3z+7-7$

$\sf\longrightarrow\:6x^{2}-y+z+3z+\cancel{7}-\cancel{7}$

$\sf\longrightarrow\:6x^{2}-y+4z$

$\small{\underline{\boxed{\mathrm{\longrightarrow\:6x^{2}-y+4z}}}}$

‎Therefore,

⠀⠀⠀⠀⠀⠀The final solution is $\small{\mathfrak{6x^{2}-y+4z}}$

════════════════════════‎

‎