Question

Factorise the Expressions and divide them as directed.
a. (x^ 2 - 7x + 12) ÷ (x-4)
b ( p^2 + 5p _ 6 ) ÷ (p - 1 )
​

Answer 1

Answer:

x plus 3

Explanation:

x square plus 7x plus 12/x plus 4

Answer 2

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$({x}^{2} - 7x + 12) \div (x - 4) \\ = ( {x}^{2} - 4x - 3x + 12) \div (x - 4) \\ = ( {x}^{2} - 4x) - (3x - 12) \div (x - 4)\\ = x(x - 4) - 3(x - 4) \div (x - 4) \\ = (x - 3)( x - 4) \div (x - 4) \\ = (x - 3)( x - 4) \times \frac{1}{(x - 4)} \\ = ( x - 3)ans:$

$({p}^{2} + 5p - 6) \div (p - 1) \\ = ( {p}^{2} + 6p - p - 6) \div (p - 1) \\ = ( {p}^{2} +6p) - (p + 6) \div (p - 1) \\ = p(p + 6) - 1(p + 6) \div (p - 1) \\ = (p + 6)(p - 1) \div (p - 1) \\ = (p + 6)(p - 1) \times \frac{1}{(p - 1)} \\ = (p + 6)ans:$

$\huge \color{green} {\underbrace {\boxed {\colorbox{black}{thnq}}}}$