Simplify the following expressions:(25m2 – 4n2)÷ (5m + 2n)

Factorize the numerator,25m2 – 4n2 = (5m)2 – (2n)2= (5m + 2n)(5m – 2n) [∵ a2 – b2 = (a + b)(a – b)]Now,= 5m – 2n

Q3 of 157 Page 32

Simplify the following expressions:
(25m² – 4n²)÷ (5m + 2n)

Factorize the numerator,

25m² – 4n² = (5m)² – (2n)²

= (5m + 2n)(5m – 2n) [∵ a² – b² = (a + b)(a – b)]

Now,

= 5m – 2n

Simplify the following expressions:

(a² + 24a + 144) ÷ (a + 12)

Simplify the following expressions:

(m² + 5m – 14) ÷ (m + 7)

Simplify the following expressions:

(4a² – 4ab – 15b²) ÷ (2a – 5b)

Simplify the following expressions:

(a⁴ – b⁴) ÷ (a – b)

Questions · 157

1. Algebra

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