Simplify the following expressions:(a2 + 24a + 144) ÷ (a + 12)

Factorize the numerator,a2 + 24a + 144 = a2 + 12a + 12a + 144= a(a + 12) + 12(a + 12)= (a + 12)(a + 12)Now,= a + 12

Q3 of 157 Page 32

Simplify the following expressions:
(a² + 24a + 144) ÷ (a + 12)

Factorize the numerator,

a² + 24a + 144 = a² + 12a + 12a + 144

= a(a + 12) + 12(a + 12)

= (a + 12)(a + 12)

Now,

= a + 12

Work out the following divisions:

(8x⁴yz – 4xy³z +3x²yz⁴) ÷ (xyz)

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(x² +7x + 10) ÷ (x + 2)

Simplify the following expressions:

(m² + 5m – 14) ÷ (m + 7)

Simplify the following expressions:

(25m² – 4n²)÷ (5m + 2n)

Questions · 157

1. Algebra

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