Factorise and simplify the following without initially expanding the brackets.
1.(x+2)^2-(x+3)^2
2.(y-7)^2-(y+4)^2

Answers
1.-(2x+5)
2.-11(2y-3)

How can I get the answer?????

Question

Factorise and simplify the following without initially expanding the brackets.
1.(x+2)^2-(x+3)^2
2.(y-7)^2-(y+4)^2

Answers
1.-(2x+5)
2.-11(2y-3)

How can I get the answer?????

skullpatrol · Answer

Study these examples http://openstudy.com/study#/updates/57a3530fe4b0abc5c3d1dc2c

skullpatrol · Answer

Welcome to open study :D

welshfella · Answer

a^2 - b^2 =  (a - b)(a + b)

now replace a by x+2 and b by x+3 

what do you get?

welshfella · Answer

replace the a and b in the right side

asfcahgcax · Answer

I keep getting (5)(2x+5)

welshfella · Answer

(x + 2 - (x + 3)] (x+ 2+x + 3)

your mistake is not putting the x + 3 in parenthesis in the first part   - You must subtract the WHOLE of (x + 3)  so you put it in parentheses. Then you distribute the  -  over  the parentheses and the + 3 becomes -3.

= (x + 2 - x - 3)(2x + 5)
 = -1 (2x + 5)
= - (2x + 5)

welshfella · Answer

get it?

asfcahgcax · Answer

oh I get it now
Thanks a lot!!!

welshfella · Answer

yw