Question

proszę o szybkie rozwiązanie przykładów dam naj !!!!

a) (a+1)(a-1)

b)(z-15)(x-1)

c) (4+x)(x-8)

d) (3a-2b)(a+b)

f)(√5-√3)(√5+√3)

g)(√7+4)(4+√4)

h)(√11+2)(√11-2)

i)(2√2-1)(2√2+1)

j)(√15-√6)(√5-√2)

Answer 1

a) (a+1)(a-1)=a²-1

b)(z-15)(x-1)=zx-15x+z+15

c) (4+x)(x-8)=4x+x²-32-8x=-4x-32+x²

d) (3a-2b)(a+b)=3a²-2ab+3ab-2b²=a²+ab-2b²

f)(√5-√3)(√5+√3)=√25-√9=5-3=2

g)(√7+4)(4+√4)=4√7+16+√28+4√4=4√7+24+√4·√7=4√7+24+2√7=6√7+24

h)(√11+2)(√11-2)=√121-4=11-4=7

i)(2√2-1)(2√2+1)=4√4-1=8-1=7

j)(√15-√6)(√5-√2)=√75-√30-√30+√12-2√30=5√3+2√3-2√30=7√3-2√30

Answer 2

a) (a+1)(a-1)=a²-1

 

b)(z-15)(x-1)=xz-z-15x+15

 

c) (4+x)(x-8)=4x-32+x²-8x=x²-4x-32

 

d) (3a-2b)(a+b)=3a²+3ab-2ab-2b²=3a²-2b²+ab

 

f)(√5-√3)(√5+√3)=5-3=2

 

g)(√7+4)(4+√4)=4√7+√28+16+4√4=4√7+2√7+16+8=6√7+34

 

h)(√11+2)(√11-2)=11-4=7

 

i)(2√2-1)(2√2+1)=8-1=7

 

j)(√15-√6)(√5-√2)=√75-√30-√30+√12=5√3-2√30+2√3=7√3-2√30