Chapter 4. Special Production and Factorization NIOS Class 10 Mathematics Chapter-Wise Important Questions and Answers

Chapter 4. Special Production and Factorization | NIOS Class 10 Mathematics Important Questions, Fully Solved Answers, and Chapter-wise Exam Preparation Guide.

Chapter 4. SPECIAL PRODUCTS AND FACTORIZATION

CHECK YOUR PROGRESS 4.1

(i) 5x+y2    (ii) x-32  (iii) ab+cd2  (iv) 2x-5y2

(v)  x3+12  (vi)  z2-132 (vii) a2+5a2-5  (viii) xy-1xy+1    (ix) x+43x+34  (x) 23x2-323x2+13   (xi) 2x+3y3x+2y  (xii) 7x+5y3x-y

Solution: (i) We have,  5x+y2

=5x2+2×5x×y+y2

=25y²+10xy+y²   

 (ii) x-32

=x2-2×x×3+32

=x²-6x+9

(iii) ab+cd2

=ab2+2×ab×cd+cd2

=a²b²+2abcd+c²d²

 (iv) 2x-5y2

=2x2-2×2x×5y+5y2

=4x²-20xy+25y²

(v)

  x3+12

=x32+2×x3×1+12

=x²9+2x3+1

(vi)

  z2-132= z22-2×z2×13+132=z²4-z3+19

(vii) a2+5a2-5

=(a²)2-5²=a4-25  

(viii) xy-1xy+1

=(xy)2-1²=x²y²-1     

(ix)

 x+43x+34

 =xx+34+43x+34

=x2+3x4+4x3+43×34

=x²+9x+16x12+1=x²+25x12+1

(x)

 23x2-323x2+13

=23x223x2+13-323x2+13

=49x4+29x2-2x2-1

=49x4+2x2-18x29-1

=49x4+-16x29-1

=49x4-16x²9-1

(xi) 2x+3y3x+2y

=2x3x+2y+3y3x+2y

=6x2+4xy+9xy+6y2

=6x²+13xy+6y²  

(xii) 7x+5y3x-y

=7x3x-y+5y3x-y

=21x2-7xy+15xy-5y2

=21x²+8xy-5y²

2. Simplify :

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