Question

(1) Factorize: ax + bx - ay-by.
(2) Factorize given perfect square algebraic expression :25m2 + 30m + 9.
(3) Factorize.y + 7y + 12​

Answer 1

Answer:

(1) ax+bx−ay−by

=(ax+bx)−(ay+by)

[Grouping the terms]

=(a+b)x−(a+b)y

=(a+b)(x−y)

[Taking (a + b) common]

(2) 25m2+30m+9

=

$( {5m}^{2} )$

+2×5m×3+${3}^{2}$

=(5m+3

${)}^{2}$

(3)

${y}^{2} + 7y + 12$

${y}^{2} + 3y + 4y + 12$

$(y + 3)(y + 4)$

Step-by-step explanation:

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