Looking for authentic SEBA Class 10 Maths Chapter 6 Revision 4 solutions for the 2026–27 academic year? Access complete step-by-step solved exercise problems, textual question answers, and detailed mathematical explanations to help you score top marks in your HSLC board exams.
Exercise R-4
Find common factors of the following :
(i) 14 pq , 28 p²q²
(ii) 16x³ – 4x² , 32x
(iii) 20pq , 30qr , 40rp
(iv) 3x²y³ , 10x³y² , 6x²y²z
(i)
Solution:
14pq = 2 × 7 × p × q
28p²q² = 2 × 2 × 7 × p × p × q × q
Common factors = 2 × 7 × p × q = 14pq
Ans: 14pq
(ii)
Solution: 16x³ = 2 × 2 × 2 × 2 × x × x × x
-4x² = -1 × 2 × 2 × x × x
32x = 2 × 2 × 2 × 2 × 2 × x
Common factors = 2 × 2 × x = 4x
Ans: 4x
(iii)
Solution: 20pq = 2 × 2 × 5 × p × q
30qr = 2 × 3 × 5 × q × r
40rp = 2 × 2 × 2 × 5 × r × p
Common factors = 2 × 5 = 10
Ans: 10
(iv)
Solution: 3x²y³ = 3 × x × x × y × y × y
10x³y² = 2 × 5 × x × x × x × y × y
6x²y²z = 2 × 3 × x × x × y × y × z
Common factors = x × x × y × y = x²y²
Ans: x²y²
- Factorise :
- 4a² + 8a³
- 7x²y – 21xy²
- a²bc + ab²c + abc²
- a³ – a²b²
(i)
Solution:
4a² + 8a³
= 4a²(1) + 4a²(2a)
= 4a²(1 + 2a)
Ans: 4a²(1 + 2a)
(ii)
Solution:
7x²y – 21xy²
= 7xy(x) – 7xy(3y)
= 7xy(x – 3y)
Ans: 7xy(x – 3y)
(iii)
Solution:
a²bc + ab²c + abc²
= abc(a) + abc(b) + abc(c)
= abc(a + b + c)
Ans: abc(a + b + c)
(iv
Solution:
a³ – a²b²
= a²(a) – a²(b²)
= a²(a – b²)
Ans: a²(a – b²)
SEBA Class 10 Maths Revision 4 Exercise Solutions
HSLC Class 10 Maths Chapter 6 Revision 4 Textual Solutions
Factorise
(i) x² + xy + 6x + 6y
(ii) xy + x + y + 1
(iii) 24x²y + 12x² – 12xy – 6x
(iv) z – 7 + 7xy – xyz
(i)
Solution:
x² + xy + 6x + 6y
= x(x + y) + 6(x + y)
= (x + y)(x + 6)
Ans: (x + y)(x + 6)
(ii)
Solution:
xy + x + y + 1
= x(y + 1) + 1(y + 1)
= (y + 1)(x + 1)
Ans: (y + 1)(x + 1)
(iii)
Solution:
24x²y + 12x² – 12xy – 6x
= 6x(4xy + 2x – 2y – 1)
= 6x [2x(2y + 1) – 1(2y + 1)]
= 6x(2y + 1)(2x – 1)
Ans: 6x(2y + 1)(2x – 1)
(iv)
Solution:
z – 7 + 7xy – xyz
= (z – 7) + 7xy – xyz
= 1(z – 7) – xy(z – 7)
= (z – 7)(1 – xy)
Ans: (z – 7)(1 – xy)
SEBA Class 10 Maths Chapter 6 Revision 4 Solutions
Class 10 Maths Chapter 6 Revision 4 Question Answer SEBA 2026-27
Express in Factors
(i) 4x² + 12x + 9
(ii) 25m² + 30m + 9
(iii) x² – 10x + 25
(iv) 121b² – 88bc + 16c²
(v) 9p² – 16q²
(vi) (l + m)² – (l – m)²
(vii) x² – 13x – 30
(viii) y² – 5y – 36
(ix) 4y² + 25y – 21
(x) 3x⁶ – 6x²y – 45x²y²
(i)
Solution:
4x² + 12x + 9
= 4x² + (6 + 6)x + 9
= 4x² + 6x + 6x + 9
= 2x(2x + 3) + 3(2x + 3)
= (2x + 3)(2x + 3)
Ans: (2x + 3)(2x + 3)
(ii)
Solution:
25m² + 30m + 9
= 25m² + (15 + 15)m + 9
= 25m² + 15m + 15m + 9
= 5m(5m + 3) + 3(5m + 3)
= (5m + 3)(5m + 3)
Ans: (5m + 3)(5m + 3)
(iii) Given
Solution:
x² – 10x + 25
= x² – (5 + 5)x + 25
= x² – 5x – 5x + 25
= x(x – 5) – 5(x – 5)
= (x – 5)(x – 5)
Ans: (x – 5)(x – 5)
(iv)
Solution:
121b² – 88bc + 16c²
= (11b)² – 2(11b)(4c) + (4c)²
= (11b – 4c)²
= (11b – 4c)(11b – 4c)
Ans: (11b – 4c)(11b – 4c)
(v)
Solution:
9p² – 16q²
= (3p)² – (4q)²
= (3p – 4q)(3p + 4q)
Ans: (3p – 4q)(3p + 4q)
(vi)
Solution:
(l + m)² – (l – m)²
= [(l + m) – (l – m)][(l + m) + (l – m)]
= (l + m – l + m)(l + m + l – m)
= (2m)(2l) = 4lm
Ans: 4lm
(vii)
Solution:
x² – 13x – 30
= x² – 15x + 2x – 30
= x(x – 15) + 2(x – 15)
= (x – 15)(x + 2)
Ans: (x – 15)(x + 2)
(viii)
Solution:
y² – 5y – 36
= y² – 9y + 4y – 36
= y(y – 9) + 4(y – 9)
= (y – 9)(y + 4)
Ans: (y – 9)(y + 4)
(ix)
Solution: 4y² + 25y – 21
= 4y² + 28y – 3y – 21
= 4y(y + 7) – 3(y + 7)
= (y + 7)(4y – 3)
Ans: (y + 7)(4y – 3)
(x)
Solution:
📐 Complete Solutions Notice: This page provides fully verified, step-by-step SEBA Class 10 Maths Chapter 6 Revision 4 Textual Exercise Solutions updated for the 2026–27 academic session. Every solution features detailed calculations, formulas, and step-by-step explanations aligned with the revised Assam Board (SEBA) textbook.
💡 Master Class 10 Maths for HSLC:
- Need to review earlier sets? Revisit our SEBA Class 10 Maths Chapter 6 Revision 3 Solutions or SEBA Class 10 Maths Chapter 6 Revision 2 Solutions.
- Stuck on a complex numerical or step in Revision 4? Drop your doubts in the comments section below!
- Share this link with your study groups to help fellow classmates prepare for their upcoming exams!