Question

How to slice how to solve x square - 4 x + 4 Into X + 3 and X square + 2 x minus 3 into X - 2

Answer 1

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Answer 2

1. (x² -4 x + 4)×(x +3)

  =  x²(x+3) -4 x(x+3)+4(x+3)

   = x²× x + 3× x² - 4 x × x- 4 x ×  3 + 4× x + 4×3 [ using distributive property]

 = x³ + 3 x² - 4 x²- 12 x+ 4 x+ 12 [ $x^{m}\times x^{n}=x^{m+n}$  ]

 = x³ -  x² - 8 x + 12           [Adding and subtracting like terms]

2. (x² + 2 x - 3)(x-2)

= x² (x-2) + 2 x(x-2) -3(x-2)

= x² × x- 2× x² + 2 x × x- 2 x × 2 - 3 × x+ 6     [ using distributive property]

= x³ - 2 x²+ 2 x²- 4 x- 3 x + 6  [ $x^{m}\times x^{n}=x^{m+n}$  ]

= x³ - 7 x + 6 [Adding and subtracting like terms]