Question

SOLVE THE FOLLOWING.

@MODERATOR CAN GIVE ANSWER IN MESSANGES BOX.
@WRONG ANSWER WILL REPORTED.
@SOLVE IN NUMBER WISE EX. SUCH AS QUES NO.7Q (A).

Answer 1

Question :-

5. Factorise the following equation ;-  

a.) x² + 14x + 48  

b.) y² + 12y - 45  

c.) 6z² + 5z - 6  

6. Divide the following :-  

a.) (-81 ) by 72 a²b²c²

b.) 64 l²mn by 8lmn  

c.) -35 x²y³ by -7x³y²  

7. Divide the following :-  

a.) 15  + 12 - 6a² by 3a²

b.) 16 - 8 by 2x²y³  

c.) 10x³y³ - 5x²y by -5xy  

8. Work out the following divisions :-  

a.) (8x - 32)   (x - 4)

b.) [60xyz(5x - 30)(3y - 30)(6z - 18)]   30x(x - 6)(y - 10)

Solution :-

5. a.) x² + 14x + 48  

=> x² + (8 + 6)x + 48  

=> x² + 8x + 6x + 48  

=> x(x + 8)+ 6(x + 8)  

=> (x + 8)(x + 6)  

b.) y² + 12y - 45  

=> y² + (15 - 3)y - 45  

=> y² + 15y - 3y - 45  

=> y(y + 15) - 3(y - 15)  

=> (y + 15)(y - 3)  

c.) 6z² + 5z - 6  

=> 6 z² + (9 - 4)z - 6  

=> 6 z² + 9z - 4z - 6  

=> 3z(2z + 3) - 2(2z + 3)  

=> (2z + 3)(3z - 2)  

6. a.) (-81) by 72 a²b²c²

=> $\dfrac{-81a^4b^4c^5}{72a^2b^2c^2}$

=>  $\dfrac{-9a^{4-2}b^{4-2}c^{5-2}}{8}$

[$\dfrac{m^n}{m^a}=m^{m-a}$]  

=> $\dfrac{-9a^{2}b^{2}c^{3}}{8}$

b.) 64 l²mn by 8lmn  

=> $\dfrac{64 l^2mn}{8lmn }$

=> $\dfrac{8l^{2-1}}{1 }$

=> $\dfrac{8l^{1}}{1 }$

=> 8 l  

c.) -35 x²y³ by -7x³y²  

=> $\frac{-35x^{2} y^{3} }{-7x^{3} y^{2}}$

=> 5 $x^{2-3} y^{3-2}$

=> 5 $x^-1 y^1$

[$m^{-n} = \dfrac{1}{m^n}$]

=> $\dfrac{5y}{x}$

Answer of Q7. and Q8. is in attachment.

Answer 2

Question :-

5. Factorise the following equation ;-  

a.) x² + 14x + 48  

b.) y² + 12y - 45  

c.) 6z² + 5z - 6  

6. Divide the following :-  

a.) (-81 ) by 72 a²b²c²

b.) 64 l²mn by 8lmn  

c.) -35 x²y³ by -7x³y²  

7. Divide the following :-  

a.) 15  + 12 - 6a² by 3a²

b.) 16 - 8 by 2x²y³  

c.) 10x³y³ - 5x²y by -5xy  

8. Work out the following divisions :-  

a.) (8x - 32)   (x - 4)

b.) [60xyz(5x - 30)(3y - 30)(6z - 18)]   30x(x - 6)(y - 10)

Solution :-

5. a.) x² + 14x + 48  

=> x² + (8 + 6)x + 48  

=> x² + 8x + 6x + 48  

=> x(x + 8)+ 6(x + 8)  

=> (x + 8)(x + 6)  

b.) y² + 12y - 45  

=> y² + (15 - 3)y - 45  

=> y² + 15y - 3y - 45  

=> y(y + 15) - 3(y - 15)  

=> (y + 15)(y - 3)  

c.) 6z² + 5z - 6  

=> 6 z² + (9 - 4)z - 6  

=> 6 z² + 9z - 4z - 6  

=> 3z(2z + 3) - 2(2z + 3)  

=> (2z + 3)(3z - 2)  

6. a.) (-81) by 72 a²b²c²

=> $\dfrac{-81a^4b^4c^5}{72a^2b^2c^2}$

=>  $\dfrac{-9a^{4-2}b^{4-2}c^{5-2}}{8}$

[$\dfrac{m^n}{m^a}=m^{m-a}$]  

=> $\dfrac{-9a^{2}b^{2}c^{3}}{8}$

b.) 64 l²mn by 8lmn  

=> $\dfrac{64 l^2mn}{8lmn }$

=> $\dfrac{8l^{2-1}}{1 }$

=> $\dfrac{8l^{1}}{1 }$

=> 8 l  

c.) -35 x²y³ by -7x³y²  

=> $\frac{-35x^{2} y^{3} }{-7x^{3} y^{2}}$

=> 5 $x^{2-3} y^{3-2}$

=> 5 $x^-1 y^1$

[$m^{-n} = \dfrac{1}{m^n}$]

=> $\dfrac{5y}{x}$