Question

PEASE CAN ANYONE SOLVE THIS ALL QUESTION

Answer 1

Answer:(1.5

(I) (x²-5)(x+5)+25

= x³-5x+5x²-25+25

= x³+5x²-5x

(ii) (a²+5)(b²+3)+5

= a²b²+5b²+3a²+15+5

= a²b²+5b²+3a²+20

(iii)(t+s²)(t²-s)

= t³+t²s²-ts-s³

= t³-s³+t²s²-ts

(iv)

(a+b)(c-d)+(a-b)(c+d)+2(ac+bd)

= ac+bc-ad-bd+ac-bc+ad-bd+2ac+2bd

= 2ac-2bd+2ac+2bd

= 4ac

(v)(x+y)(2x+y)+(x+2y)(x-y)

= 2x²+2xy+xy+y²+x²+2xy-xy-2y²

= 3x²-y²+4xy

(vi)(x+y)(x²-xy+y²)= x³+y³

(viii)(a+b+c)(a+b-c)

= (a+b)²-(c)²

= a²+b²+2ab-c²

= a²+b²-c²+2ab

(vii)(1.5x-4y)(1.5x+4y+3)-4.5x+12y

= (1.5x)²-(4y)²+3(1.5x-4y)-4.5x+12y

= 2.25x²-16y²+4.5x-12y-4.5x+12y

= 2.25x²-16y²