Question

exercise 9.5 class 8 question 1
​

Answer 1

Answer:

(i) (x + 3) (x + 3) = (x + 3)2

(i) (x + 3) (x + 3) = (x + 3)2= x2 + 6x + 9

(i) (x + 3) (x + 3) = (x + 3)2= x2 + 6x + 9Using (a+b) 2 = a2 + b2 + 2ab

(i) (x + 3) (x + 3) = (x + 3)2= x2 + 6x + 9Using (a+b) 2 = a2 + b2 + 2ab(ii) (2y + 5) (2y + 5) = (2y + 5)2

(i) (x + 3) (x + 3) = (x + 3)2= x2 + 6x + 9Using (a+b) 2 = a2 + b2 + 2ab(ii) (2y + 5) (2y + 5) = (2y + 5)2= 4y2 + 20y + 25

(i) (x + 3) (x + 3) = (x + 3)2= x2 + 6x + 9Using (a+b) 2 = a2 + b2 + 2ab(ii) (2y + 5) (2y + 5) = (2y + 5)2= 4y2 + 20y + 25Using (a+b) 2 = a2 + b2 + 2ab

(i) (x + 3) (x + 3) = (x + 3)2= x2 + 6x + 9Using (a+b) 2 = a2 + b2 + 2ab(ii) (2y + 5) (2y + 5) = (2y + 5)2= 4y2 + 20y + 25Using (a+b) 2 = a2 + b2 + 2abiii) (2a – 7) (2a – 7) = (2a – 7)2

(i) (x + 3) (x + 3) = (x + 3)2= x2 + 6x + 9Using (a+b) 2 = a2 + b2 + 2ab(ii) (2y + 5) (2y + 5) = (2y + 5)2= 4y2 + 20y + 25Using (a+b) 2 = a2 + b2 + 2abiii) (2a – 7) (2a – 7) = (2a – 7)2= 4a2 – 28a + 49

(i) (x + 3) (x + 3) = (x + 3)2= x2 + 6x + 9Using (a+b) 2 = a2 + b2 + 2ab(ii) (2y + 5) (2y + 5) = (2y + 5)2= 4y2 + 20y + 25Using (a+b) 2 = a2 + b2 + 2abiii) (2a – 7) (2a – 7) = (2a – 7)2= 4a2 – 28a + 49Using (a-b) 2 = a2 + b2 – 2ab

(i) (x + 3) (x + 3) = (x + 3)2= x2 + 6x + 9Using (a+b) 2 = a2 + b2 + 2ab(ii) (2y + 5) (2y + 5) = (2y + 5)2= 4y2 + 20y + 25Using (a+b) 2 = a2 + b2 + 2abiii) (2a – 7) (2a – 7) = (2a – 7)2= 4a2 – 28a + 49Using (a-b) 2 = a2 + b2 – 2abiv) (3a – 1/2)(3a – 1/2) = (3a – 1/2)2

(3a – 1/2)(3a – 1/2) = (3a – 1/2)2= 9a2 -3a+(1/4)

(3a – 1/2)(3a – 1/2) = (3a – 1/2)2= 9a2 -3a+(1/4)Using (a-b) 2 = a2 + b2 – 2ab

(3a – 1/2)(3a – 1/2) = (3a – 1/2)2= 9a2 -3a+(1/4)Using (a-b) 2 = a2 + b2 – 2abv) (1.1m – 0.4) (1.1m + 0.4)

(1.1m – 0.4) (1.1m + 0.4)= 1.21m2 + 0.44 – 0.44m – 0.16

(1.1m – 0.4) (1.1m + 0.4)= 1.21m2 + 0.44 – 0.44m – 0.16= 1.21m2 – 0.16

(1.1m – 0.4) (1.1m + 0.4)= 1.21m2 + 0.44 – 0.44m – 0.16= 1.21m2 – 0.16Using (a – b)(a + b) = a2 – b2

(1.1m – 0.4) (1.1m + 0.4)= 1.21m2 + 0.44 – 0.44m – 0.16= 1.21m2 – 0.16Using (a – b)(a + b) = a2 – b2vi) (a2+ b2) (– a2+ b2)

(1.1m – 0.4) (1.1m + 0.4)= 1.21m2 + 0.44 – 0.44m – 0.16= 1.21m2 – 0.16Using (a – b)(a + b) = a2 – b2vi) (a2+ b2) (– a2+ b2)= (b2 + a2 ) (b2 – a2)

(1.1m – 0.4) (1.1m + 0.4)= 1.21m2 + 0.44 – 0.44m – 0.16= 1.21m2 – 0.16Using (a – b)(a + b) = a2 – b2vi) (a2+ b2) (– a2+ b2)= (b2 + a2 ) (b2 – a2)= -a4 + b4

(1.1m – 0.4) (1.1m + 0.4)= 1.21m2 + 0.44 – 0.44m – 0.16= 1.21m2 – 0.16Using (a – b)(a + b) = a2 – b2vi) (a2+ b2) (– a2+ b2)= (b2 + a2 ) (b2 – a2)= -a4 + b4 Using (a – b)(a + b) = a2 – b2

(1.1m – 0.4) (1.1m + 0.4)= 1.21m2 + 0.44 – 0.44m – 0.16= 1.21m2 – 0.16Using (a – b)(a + b) = a2 – b2vi) (a2+ b2) (– a2+ b2)= (b2 + a2 ) (b2 – a2)= -a4 + b4 Using (a – b)(a + b) = a2 – b2vii) (6x – 7) (6x + 7)

(1.1m – 0.4) (1.1m + 0.4)= 1.21m2 + 0.44 – 0.44m – 0.16= 1.21m2 – 0.16Using (a – b)(a + b) = a2 – b2vi) (a2+ b2) (– a2+ b2)= (b2 + a2 ) (b2 – a2)= -a4 + b4 Using (a – b)(a + b) = a2 – b2vii) (6x – 7) (6x + 7)=36x2 – 49

(1.1m – 0.4) (1.1m + 0.4)= 1.21m2 + 0.44 – 0.44m – 0.16= 1.21m2 – 0.16Using (a – b)(a + b) = a2 – b2vi) (a2+ b2) (– a2+ b2)= (b2 + a2 ) (b2 – a2)= -a4 + b4 Using (a – b)(a + b) = a2 – b2vii) (6x – 7) (6x + 7)=36x2 – 49Using (a – b)(a + b) = a2 – b2

(1.1m – 0.4) (1.1m + 0.4)= 1.21m2 + 0.44 – 0.44m – 0.16= 1.21m2 – 0.16Using (a – b)(a + b) = a2 – b2vi) (a2+ b2) (– a2+ b2)= (b2 + a2 ) (b2 – a2)= -a4 + b4 Using (a – b)(a + b) = a2 – b2vii) (6x – 7) (6x + 7)=36x2 – 49Using (a – b)(a + b) = a2 – b2viii) (– a + c) (– a + c) = (– a + c)2

(1.1m – 0.4) (1.1m + 0.4)= 1.21m2 + 0.44 – 0.44m – 0.16= 1.21m2 – 0.16Using (a – b)(a + b) = a2 – b2vi) (a2+ b2) (– a2+ b2)= (b2 + a2 ) (b2 – a2)= -a4 + b4 Using (a – b)(a + b) = a2 – b2vii) (6x – 7) (6x + 7)=36x2 – 49Using (a – b)(a + b) = a2 – b2viii) (– a + c) (– a + c) = (– a + c)2= c2 + a2 – 2ac

(1.1m – 0.4) (1.1m + 0.4)= 1.21m2 + 0.44 – 0.44m – 0.16= 1.21m2 – 0.16Using (a – b)(a + b) = a2 – b2vi) (a2+ b2) (– a2+ b2)= (b2 + a2 ) (b2 – a2)= -a4 + b4 Using (a – b)(a + b) = a2 – b2vii) (6x – 7) (6x + 7)=36x2 – 49Using (a – b)(a + b) = a2 – b2viii) (– a + c) (– a + c) = (– a + c)2= c2 + a2 – 2acUsing (a-b) 2 = a2 + b2 – 2ab

= (x2/4) + (9y2/16) + (3xy/4)

= (x2/4) + (9y2/16) + (3xy/4)Using (a+b) 2 = a2 + b2 + 2ab

= (x2/4) + (9y2/16) + (3xy/4)Using (a+b) 2 = a2 + b2 + 2abx) (7a – 9b) (7a – 9b) = (7a – 9b)2

= (x2/4) + (9y2/16) + (3xy/4)Using (a+b) 2 = a2 + b2 + 2abx) (7a – 9b) (7a – 9b) = (7a – 9b)2= 49a2 – 126ab + 81b2

= (x2/4) + (9y2/16) + (3xy/4)Using (a+b) 2 = a2 + b2 + 2abx) (7a – 9b) (7a – 9b) = (7a – 9b)2= 49a2 – 126ab + 81b2Using (a-b) 2 = a2 + b2 – 2ab

Step-by-step explanation:

Please mark me as brainliest