Rational help!!

Question

Simplest form :)

1) 7p²w^5 over 21p³w³

2) 4x-8 over 14-7x

3) x²+11x+28 over 2x²-98

4) 2x²+10x+12 over 10x²-40x-120

Answer 1

(1)

Rewrite 21 = 7*3  , p³ = p * p² and w⁵ = w² * w³ .

Cancel common terms .

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Answer 2

(2)

Take out the term 4  from 4x - 8  =>  4 (x - 2) .

Take out the term -7  from 14 - 7x  => - 7( x -2 ) .

Cancel common terms .

.

Comments

can you help me with 3 and 4? please

Answer 3

(3)

Rewrite the numerator x² + 11x + 28 => x² + 7x +4x + 28

                                                                  = x(x+7) +4(x+7)

                                                                  = (x+7)(x+4)

Rewrite the denominator 2x²  - 98 => 2(x²  - 49)

                                                              = 2(x - 7)(x + 7)

.

Cancel common terms .

 

Answer 4

(4)

Rewrite the numerator 2x² + 10x + 12 => 2(x² + 5x + 6)

                                                    = 2(x² + 3x +2x + 6)

                                                    = 2(x(x + 3) +2(x + 3))

                                                    = 2(x+3)(x+2)

Rewrite the denominator 10x² - 40x -120=> 10(x² - 4x -12)

                                                     = 10(x² - 6x + 2x -12)

                                                     = 10(x(x - 6)+ 2(x -6))

                                                     = 10(x - 6)(x+2)

 

Cancel common terms .