Question

A. Using the identity : x'+(a+b)x+ ab = (x+a)(x+b), complete the following, 2. x'+22x + 21 = (x+21) 1. x'+13x+30 = (x+10) 3. x'+3x-28 = (x-4) 4. x²-x-30= (x-6) 5. x'+x-30 =(x-5) 6. X-9x+20 =(x-5) 7. x-2x-35 = (x-7) 8. X'+ 2x-35=(x-5)​

Answer 1

Answer:

(x+a)(x+b)=x²+(a+b)x+ab

Answer 2

Step-by-step explanation:

Solution:

(x+a)(x+b)

2

+(a+b)x+ab

(i) (x+2)(x+3)

=x

2

+(2+3)x+2×3

=x

2

+5x+6

(ii) (x−10)(x+8)

=x

2

+(−10+8)x+(−10)×8

=x

2

−2x−80

(iii) (x+15)(x−6)

=x

2

+(15−6)x+15×(−6)

=x

2

+9x−90

(iv) (x+7)(x+7)

=x

2

+(7+7)x+7×7

=x

2

+14x+49.