CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon


Question

Evaluate :

(i) (a+ 1)(a-1)(a^2 + 1)

(ii) (a + b)(a-b)(a^2 + b^2)

(iii) (2a-b)(2a +b)(4a^2 + b^2)

(iv) (3 - 2x)(3 + 2x)(9 + 4x^2)

(v) (3x - 4y)(3x + 4y)( 9x^2 + 16y^2)


Solution

(i) (a+1)(a1)(a2+1)=[(a)2(1)2](a2+1)

=(a21)(a2+1)

=(a21)(a2+1)

=(a2)2(1)2

=a41.

(ii) (a+b)(ab)(a2+b2)=(a2b2)(a2+b2)

=(a2)2(b2)2

a4b4.

(iii) (2ab)(2a+b)(4a2+b2)

=[(2a)2(b)2](4a2+b2)

=(4a2b2)(4a2+b2)

=(4a2)2(b2)2

=16a4b4.

(iv) (32x)(3+2x)(9+4x2)=[(3)2(2x)2](9+4x2) 

=(94x2)(9+4x2)

=(9)2(4x2)2

=8116x4.

(v) (3x4y)(3x+4y)(9x2+16y2)=[(3x)2(4y)2](9x2+16y2) 

=(9x216y2)(9x2+16y2)

=(9x2)2(16y2)2

=81x4256y4.

flag
 Suggest corrections
thumbs-up
 
0 Upvotes


Similar questions
QuestionImage
QuestionImage
View More...


Same exercise questions
QuestionImage
QuestionImage
View More...



footer-image