Ask
particle Dec 8, 2020

# Factorise (a) X4-(x-y) 4(b) 4x2+9-12x-a2-b2+2ab​

answers: 1
Register to add an answer
The time for answering the question is over
Answer:

EXERCISE: 14.1

1. Find the common factos of the given terms:

(i) 12x, 36

(ii) 2y, 22xy

(iii) 14pq, 28p2q2

(iv) 2x, 3x2, 4

(v) 6abc, 24ab2, 12a2b

(vi) 16x3, –4x2, 32x

(vii) 10pq, 20qr, 30rp

(viii) 3x2y3, 10x3y2, 6x2y2z

Sol. (i) The numerical coefficient in the given monomials are 12 and 36.

The highest common factor of 12 and 36 is 12.

But there is no common literal appearing in the given monomials 12x and 36.

The highest common factor = 12.

(ii) 2y = 2 × y

22xy = 2 × 11× x × y

The comoon factors are 2, y

And, 2 × y = 2y

(iii) The numerical coefficients of the given monomials are 14 and 28.

The highest common factor of 14 and 28 is 14.

The common literals appearing in the given monomials are p and q.

The smallest power of p and q in the two monomials = 1

The monomial of common literals with smallest powers = pq

∴The highest common factor = 14pq

(iv) 2x = 2 × x

3x2 = 3 × x × x

4 = 2 × 2

The common factor is 1.

(v) The numerical coefficients of the given monomials are 6, 24 and 12.

The common literals appearing in the three monomials are a and b.

The smallest power of a in the three monomials = 1

The smallest power of b in the three monomials = 1

The monomial of common literals with smallest power = ab

Hence, the highest common factor = 6ab

(vi) 16x3 = 2 × 2 × 2 2 x × x × x

–4x2 = –1 × 2 × 2 x × x

32x = 2 × 2 × 2 × 2 × 2 × x

The common factors are 2, 2, x.

And 2 × 2 × x = 4x

(vii) The numerical coefficients of the

## full exercise ✌️✌️

115
order
Dec 8, 2020
For answers need to register.
Contacts
mail@expertinstudy.com
Feedback
Expert in study
About us
For new users
For new experts
Terms and Conditions