Exploring Algebraic Identities
Exercise 4.4
Factorisation
17 questions
Class 9 · Maths
NCERT
Q1 (i)
Fill in the blanks to complete the following identities:
\(s^2 − 11s + 24 = (\rule{2cm}{0.4pt})(\rule{2cm}{0.4pt} ) \)
Q1 (ii)
Fill in the blanks to complete the following identities:
\( (\rule{2cm}{0.4pt} )(x + 1) = (3x^2 − 4x − 7) \)
Q1 (iii)
Fill in the blanks to complete the following identities:
\((10x^2 − 11x − 6) = (2x^2 − \rule{2cm}{0.4pt})(\rule{2cm}{0.4pt} + 2) \)
Q1 (iv)
Fill in the blanks to complete the following identities:
\((6x^2 + 7x +2) = (\rule{2cm}{0.4pt})(\rule{2cm}{0.4pt}) \)
Q2 (i)
Select and use the identity that will help you to find the following products without multiplying directly:
\(41^2\)
Q2 (ii)
Select and use the identity that will help you to find the following products without multiplying directly:
\(27^2\)
Q2 (iii)
Select and use the identity that will help you to find the following products without multiplying directly:
\(23 × 17\)
Q2 (iv)
Select and use the identity that will help you to find the following products without multiplying directly:
\(135^2\)
Q2 (v)
Select and use the identity that will help you to find the following products without multiplying directly:
\(97^2\)
Q2 (vi)
Select and use the identity that will help you to find the following products without multiplying directly:
\(18 × 29\)
Q2 (vii)
Select and use the identity that will help you to find the following products without multiplying directly:
\( 34 × 43 \)
Q2 (viii)
Select and use the identity that will help you to find the following products without multiplying directly:
\(205^2\)
Q3 (i)
Factor the following:
\(9a^2 + b^2 + 4c^2 − 6ab + 12ac − 4bc\)
Q3 (ii)
Factor the following:
\(16s^2 + 25t^2 − 40st \)
Q3 (iii)
Factor the following:
\(r^2 − r − 42 \)
Q3 (iv)
Factor the following:
\(49g^2 + 14gh + h^2 \)
Q3 (v)
Factor the following:
\(64u^2 + 121v^2 + 4w^2 − 176uv − 32uw + 44vw\)