(a) \( (a+2)(a+3)+(a+4)(a+1) \) (b) \( (2 w+3)(w-1)+(w-3)(w-2) \) (c) \( (x+9)(3 x+4)-(x+3)(x-1) \) (d) \( 2(x+1)(x+4)-(x+1)(x+2) \) (e) \( (x+4)^{2}+(x+1)^{2} \) (f) \( (2 x+1)^{2}-(x-5)^{2} \)

          (a) \( (a+2)(a+3)+(a+4)(a+1) \)
(b) \( (2 w+3)(w-1)+(w-3)(w-2) \)
(c) \( (x+9)(3 x+4)-(x+3)(x-1) \)
(d) \( 2(x+1)(x+4)-(x+1)(x+2) \)
(e) \( (x+4)^{2}+(x+1)^{2} \)
(f) \( (2 x+1)^{2}-(x-5)^{2} \)

Added by Joe R.

Precalculus

John W. Coburn 2nd Edition

Chapter 2

Instant Answer

Solved by Expert Rashmi Prakash

Step 1

(a) \( (a+2)(a+3)+(a+4)(a+1) \) - Expand \( (a+2)(a+3) = a^2 + 3a + 2a + 6 = a^2 + 5a + 6 \) - Expand \( (a+4)(a+1) = a^2 + a + 4a + 4 = a^2 + 5a + 4 \) Show more…

Show all steps

Thanks for your feedback!

(a) \( (a+2)(a+3)+(a+4)(a+1) \) (b) \( (2 w+3)(w-1)+(w-3)(w-2) \) (c) \( (x+9)(3 x+4)-(x+3)(x-1) \) (d) \( 2(x+1)(x+4)-(x+1)(x+2) \) (e) \( (x+4)^{2}+(x+1)^{2} \) (f) \( (2 x+1)^{2}-(x-5)^{2} \)