Simplify the following expressions:(4a2 – 4ab – 15b2) ÷ (2a – 5b)

Factorize the numerator,4a2 – 4ab – 15b2 = 4a2 + 6ab – 10ab – 15b2= 2a(2a + 3b) – 5b(2a + 3b)= (2a + 3b)(2a – 5b)Now,= (2a + 3b)

Q3 of 157 Page 32

Simplify the following expressions:
(4a² – 4ab – 15b²) ÷ (2a – 5b)

Factorize the numerator,

4a² – 4ab – 15b² = 4a² + 6ab – 10ab – 15b²

= 2a(2a + 3b) – 5b(2a + 3b)

= (2a + 3b)(2a – 5b)

Now,

= (2a + 3b)

Simplify the following expressions:

(m² + 5m – 14) ÷ (m + 7)

Simplify the following expressions:

(25m² – 4n²)÷ (5m + 2n)

Simplify the following expressions:

(a⁴ – b⁴) ÷ (a – b)

Solve the following equations:

3x + 5 = 23

Questions · 157

1. Algebra

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