Factorisation Class 9 OP Malhotra Exe-4C ICSE Maths Solutions

Factorisation Class 9 OP Malhotra Exe-4C ICSE Maths Solutions Ch-4. We Provide Step by Step Solutions / Answer of Questions on Factorisation Using squire of (a+b) or (a-b). Visit official Website CISCE  for detail information about ICSE Board Class-9 Mathematics.

Factorisation Class 9 OP Malhotra Exe-4C ICSE Maths Solutions

Factorisation Class 9 OP Malhotra Exe-4C ICSE Maths Solutions

Board ICSE
Publications  S Chand
Subject Maths
Class 9th
Chapter-4 Factorisation
Writer OP Malhotra
Exe-4C Factorisation Using squire of (a+b) or (a-b)
Edition 2025-2026

Factorisation Using squire of (a+b) or (a-b)

Factorizing an expression using the squares of (a+b) or (a-b) involves recognizing patterns and applying the formulas (a+b)² = a² + 2ab + b² and (a-b)² = a² – 2ab + b²These formulas can be used to factorize trinomials (expressions with three terms) that fit this pattern

(a + b)² = a² + 2ab + b²:
This formula states that the square of the sum of two terms is equal to the sum of their squares plus twice the product of the two terms
(a – b)² = a² – 2ab + b²:
This formula states that the square of the difference of two terms is equal to the sum of their squares minus twice the product of the two term

Exercise- 4C

Factorisation Class 9 OP Malhotra Exe-4C ICSE Maths Solutions Ch-4

Factorise :
Que-1: x² + 4x + 4

Sol: x² + 4x + 4
= (x)² + (2 × x × 2) + (2)²
= (x + 2)²

Que-2: x² + 6x + 9

Sol: x² + 6x + 9
= (x)² + (2 x X x 3) + (3)²
= (x + 3)²

Que-3: x² – 10x + 25

Sol: x² – 10x + 25
= (x)² – (2 × x × 5) + (5)²
= (x – 5)²

Que-4: 4x² – 4x + 1

Sol: 4x² – 4x + 1
= (2x)² – (2 × 2x × 1) + (1)²
= (2x – 1)²

Que-5: 1 – 8x + 16x²

Sol: 1 – 8x + 16x²
= (1)² – (2 x 1 x 4x) + (4x)²
= (1 – 4x)²

Que-6: 49x4 + 168x²y² + 144y4

Sol: 49x4 + 168x²y² + 144y4
= (7x²)² + (2 x 7x² x 12y²) + (12y)²
= (7x² + 12y²)²

Que-7: x² + x +(1/4)

Sol: x² + x + (1/4)
= (x)² + (2 × x × (1/2)) + (1/2)²
= (x + (1/2))²

Que-8: 25p² + (5p/2q) + (1/16q²)

Sol: 25p² + (5p/2q) + (1/16q²)
= (5p)² + (2 x 5p x (1/4q)) x (1/4q)²
= (5p + (1/4q))²

— : End of Factorisation Class 9 OP Malhotra Exe-4C ICSE Maths Solutions Ch-4 :–

Return to :- OP Malhotra Class 9 ICSE Maths Solutions

Thanks

Please Share with Your Friends

Leave a Comment

This site uses Akismet to reduce spam. Learn how your comment data is processed.

error: Content is protected !!