Simplify the following expressions:(m2 + 5m – 14) ÷ (m + 7)

Factorize the numerator,m2 + 5m – 14 = m2 + 7m – 2m – 14= m(m + 7) – 2(m + 7)= (m – 2)( m + 7)Now,= m – 2

Q3 of 157 Page 32

Simplify the following expressions:
(m² + 5m – 14) ÷ (m + 7)

Factorize the numerator,

m² + 5m – 14 = m² + 7m – 2m – 14

= m(m + 7) – 2(m + 7)

= (m – 2)( m + 7)

Now,

= m – 2

Simplify the following expressions:

(x² +7x + 10) ÷ (x + 2)

Simplify the following expressions:

(a² + 24a + 144) ÷ (a + 12)

Simplify the following expressions:

(25m² – 4n²)÷ (5m + 2n)

Simplify the following expressions:

(4a² – 4ab – 15b²) ÷ (2a – 5b)

Questions · 157

1. Algebra

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