Question

Here are pairs of equivalent expressions, one in standard form and the other in factored form. Find
the missing numbers.
1. x2 +
+
and (x – 9) (x - 3)
2. 22 – 9x + 20 and (x – 4) (x +

Answer 1

The first equation will be x²-12x+27=(x-9)(x-3). The second equation will be x²-9x+20=(x-5)(x-4).

What is an equation?

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

1. For the first equation to be complete, we need to expand the factors, therefore, we can write,

(x-9)(x-3)

= x² - 9x - 3x + 27

=x²-12x+27

Hence, the first equation will be x²-12x+27=(x-9)(x-3).

2. For the second equation to be complete, we need to factorise the left side of the equation, therefore, we can write,

x²-9x+2

= x²-5x-4x+20

= x(x-5)-4(x-5)

=(x-5)(x-4)

Hence, the second equation will be x²-9x+20=(x-5)(x-4).

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