Class 8 - Mathematics
Factorisation - Exercise 14.2
Top Block 1
Question :1. Factorize the following expressions:
(i) a² + 8a + 16
(ii) p² − 10p + 25
(iii) 25m² + 30m + 9
(iv) 49y² + 84yz + 36z²
(v) 4𝓍² − 8𝓍 + 4
(vi) 121b² − 88bc + 16c²
(vii) (𝓁 + m)² − 4𝓁m
[Hint: Expand (𝓁 + m)² first]
(viii) a4 + 2a²b² + a4
Answer :
Question :2. Factorize:
(i) 4p² − 9q²
(ii) 63a² − 112b²
(iii) 49𝓍² − 36
(iv) 16𝓍5 − 144𝓍²
(v) (𝓁 + m)² − (𝓁 − m)²
(vi) 9𝓍²y² − 16
(vii) (𝓍² − 2𝓍y + y²) − z²
(viii) 25a² − 4b² + 28bc _ 49c²
Answer :
Mddle block 1
Question :3. Factorize the expressions:
(i) a𝓍² + b𝓍
(ii) 7p² + 21q²
(iii) 2𝓍³ + 2𝓍y² + 2𝓍z²
(iv) am² + bm² + bn² + an²
(v) (𝓁m + 𝓁) + m + 1
(vi) y(y + z) + 9(y + z)
(vii) 5y² −20y − 8z + 2yz
(viii) 10ab + 4a + 5b + 2
(ix) 6𝓍y − 4y + 6 − 9𝓍
Answer :
Question :4. Factorize:
(i) a4 − b4
(ii) p4 − 81
(iii) &xscr4 −(y + z)4
(iv) 𝓍 −(𝓍 − z)4
(v) a4 − 2a²b² + b4
Answer :
Question :5. Factorize the following expressions:
(i) p² + 6p + 8
(ii) q² − 10q + 21
(iii) p² + 6p − 16
Answer :
