Question

Desenvolva os produtos notáveis
(2x+5).(2x-5)

(1+4y)ao quadrado

(10x+7)ao quadrado

(10x-7)ao quadrado

Answer 1

(2x+5).(2x-5)
2x²-5²
4x²-25

(1+4y)²
1²+2.1.4y+4y²
1²+8y+16y

(10x+7)²
10x²+2.10x.7+7²
100x²+140x+49

(10x-7)²
10x²-2.10x.-7+(-7)²
100x²+140x+49

Answer 2

(2x+5).(2x-5)
4x² -10x +10x -25     elimina -10x +10x
4x² -25

(1+4y)²
(1)² +2.(1).(4y) +(4y)²
1 + 8y +16y²

ou


(1+4y).((1+4y)
1² +4y +4y +16
1+8y +16

(10x+7)²
(10x)² +2.(10x).(7) +(7)²
100x² +140x +49

ou

(10x+7).((10x+7)
100x² +70x +70x +49
100x² +140x +49


(10x-7)²
(10x)² -2.(10x).(7) +(7)²
100x² -140x +49

ou

(10x-7).(10x-7)
100x² -70x -70x +49
100x² -140x +49