Simplify the following expressions:(x2 +7x + 10) ÷ (x + 2)

Factorize the numerator,x2 +7x + 10 = x2 + 5x + 2x + 10= x(x + 5) + 2(x + 5)= (x + 2)(x + 5)Now,= x + 5

Q3 of 157 Page 32

Simplify the following expressions:
(x² +7x + 10) ÷ (x + 2)

Factorize the numerator,

x² +7x + 10 = x² + 5x + 2x + 10

= x(x + 5) + 2(x + 5)

= (x + 2)(x + 5)

Now,

= x + 5

Work out the following divisions:

4x²y – 28xy + 4xy² ÷ (4xy)

Work out the following divisions:

(8x⁴yz – 4xy³z +3x²yz⁴) ÷ (xyz)

Simplify the following expressions:

(a² + 24a + 144) ÷ (a + 12)

Simplify the following expressions:

(m² + 5m – 14) ÷ (m + 7)

Questions · 157

1. Algebra

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