Algebraic Expressions Class- VII

Add the following:

7abc, −5abc, 9abc, −8abc

• -3abc

• 1abc

• 3abc

• 29abc

Add the following expressions:

8a−6ab+5b, −6a−ab−8b and −4a+2ab+3b

• 5ab

• 2a + 5ab

• - 2a - 5ab

• 3b + 6ab

Subtract −4x from 3y

• 3y + 4x

• 3y-4x

• -4x-3y

• 7xy

Subtract the sum of 13x − 4y + 7z and −6z + 6x + 3y from the sum of 6x − 4y − 4z and 2x + 4y − 7.

• 11x - y - 5z - 7

• - 11x + y + 5z + 7

• - 11x + y - 5z - 7

Simplify the following algebraic expressions:

5a − (3b − 2a + 4c)

• 7a - 3b + 4c

• 7a - 3b - 4c

• 7a + 3b + 4c

 $\left(-4ab\right)\times\left(-3a^2bc\right)$  

•  $-12abc^2$  

•  $12a^3b^2c$  

•  $-7a^3b^2c$  

 $\left(\frac{7}{5}x^2y\right)\times\left(\frac{3}{2}xy^2\right)\times\left(-\frac{6}{5}x^3y^3\right)$  

•  $\frac{21}{25}x^6y^2$  

•  $-\frac{63}{25}x^6y^6$  

•  $\frac{126}{25}x^3y^3$  

(7x + 2y)(x + 4y)

• $7x^2+28xy+8y^2$

• $7x^2+30xy+8y^2$

• $7x^2+30xy+8y$

(3m − 4n)(2m − 3n)

• $6m^2+17mn+12n$

• $6m^2-17mn+12n^2$

• $6m^2-14mn\ -\ 12n^2$

 $\left(x^2-a^2\right)\left(x-a\right)$  

•  $x^3+a^2x+ax^2+a^3$  

•  $x^3-a^2x-ax^2-a^3$  

•  $x^3-a^2x-ax^2+a^3$