S.chand publication New Learning Composite mathematics solution of class 8 Chapter 6 Factorisation of Algebraic Expressions Exercise 6D

 Exercise 6D

State whether or not the expression is a trinomial square. If it is, factorise the expression.

Q1 | Ex-6C | Class 8 | S.Chand | New Learning Composite maths | chapter 6 |Factorisation of Algebraic Expressions | myhelper

OPEN IN YOUTUBE

Question 1

a2 + 4ab + 4b2

Sol :
=a2+2.a.2b+(2b)2
=(a+2b)2


Q2 | Ex-6C | Class 8 | S.Chand | New Learning Composite maths | chapter 6 |Factorisation of Algebraic Expressions | myhelper

OPEN IN YOUTUBE

Question 2

4x2 – 4x + 1

Sol :
=(2x)2-2.2x.1+(1)2
=(2x-1)2


Q3 | Ex-6C | Class 8 | S.Chand | New Learning Composite maths | chapter 6 |Factorisation of Algebraic Expressions | myhelper

OPEN IN YOUTUBE

Question 3

36p2 – 60pq + 25q2

Sol :
=(6p)2-2.6p.5q+(5q)2
=(6p-5q)2


Q4 | Ex-6C | Class 8 | S.Chand | New Learning Composite maths | chapter 6 |Factorisation of Algebraic Expressions | myhelper

OPEN IN YOUTUBE

Question 4

x2 – 2xy – y2

Sol :
=x2–2xy–y2
NO


Q5 | Ex-6C | Class 8 | S.Chand | New Learning Composite maths | chapter 6 |Factorisation of Algebraic Expressions | myhelper

OPEN IN YOUTUBE

Question 5

49y2 – 14y + 1

Sol :
=(7y)2– 2.7y.1+12
=(7y-1)2


Q6 | Ex-6C | Class 8 | S.Chand | New Learning Composite maths | chapter 6 |Factorisation of Algebraic Expressions | myhelper

OPEN IN YOUTUBE

Question 6

9x2y2 + 6xyz + z2

Sol :
=(3xy)2+2.3xy.7+z2
=(3xy+z)2


Q7 | Ex-6C | Class 8 | S.Chand | New Learning Composite maths | chapter 6 |Factorisation of Algebraic Expressions | myhelper

OPEN IN YOUTUBE

Question 7

4m2+24m+9

Sol :
NO


Q8 | Ex-6C | Class 8 | S.Chand | New Learning Composite maths | chapter 6 |Factorisation of Algebraic Expressions | myhelper

OPEN IN YOUTUBE

Question 8

16b2 – 60by + 25y2

Sol :
NO


Q9 | Ex-6C | Class 8 | S.Chand | New Learning Composite maths | chapter 6 |Factorisation of Algebraic Expressions | myhelper

OPEN IN YOUTUBE

Question 9

49x4 – 112x2y2 + 64y4

Sol :
=(7x)2-2.7x.8y+(8y)2
=(7x2-8y2)2


Q10 | Ex-6C | Class 8 | S.Chand | New Learning Composite maths | chapter 6 |Factorisation of Algebraic Expressions | myhelper

OPEN IN YOUTUBE

Question 10

25x2 + 20x + 1

Sol :
NO



Q11 | Ex-6C | Class 8 | S.Chand | New Learning Composite maths | chapter 6 |Factorisation of Algebraic Expressions | myhelper

OPEN IN YOUTUBE

Question 11

$\frac{x^2}{9y^2}-\frac{2}{15}+\frac{y^2}{25x^2}$

Sol :

$=\left(\frac{x}{3y}\right)^2-2.\frac{x}{3y}.\frac{y}{5x}+\left(\frac{y}{5x}\right)^2$
$=\left(\frac{x}{3y}-\frac{y}{5x}\right)^2$



Q12 | Ex-6C | Class 8 | S.Chand | New Learning Composite maths | chapter 6 |Factorisation of Algebraic Expressions | myhelper

OPEN IN YOUTUBE

Question 12

a2+a+ ¼
Sol :

$=a^2+2.a.\frac{1}{2}+\left(\frac{1}{2}\right)^2$
$=\left(a+\frac{1}{x}\right)^2$


Q13 | Ex-6C | Class 8 | S.Chand | New Learning Composite maths | chapter 6 |Factorisation of Algebraic Expressions | myhelper

OPEN IN YOUTUBE

Question 13

1+18pq+81p2q2

Sol :
=12+2.9pq.1+(9pq)2
=(1+9pq)2


Q14 | Ex-6C | Class 8 | S.Chand | New Learning Composite maths | chapter 6 |Factorisation of Algebraic Expressions | myhelper

OPEN IN YOUTUBE

Question 14

4–20b+25b2

Sol :

=22-2.4.5b+5b2
=(2+5b)2



Q15 | Ex-6C | Class 8 | S.Chand | New Learning Composite maths | chapter 6 |Factorisation of Algebraic Expressions | myhelper

OPEN IN YOUTUBE

Question 15

$\frac{4}{9}x^2+\frac{16}{15}xy+\frac{16}{25}y^2$

Sol :

$=\left(\frac{2}{3}x\right)^2+2.\frac{2x}{3}.\frac{4y}{5}+\left(\frac{4}{5}y\right)^2$

$=\left(\frac{2x}{3}+\frac{4y}{5}\right)^2$

Labels: , , , , , , , ,

1 comment:

Contact Form

Name

Email *

Message *