Question

Zastosuj wzory skróconego mnożenia :
1.(x-7)² =
2.(5x + 2)²=
3.(3a - 4b)²=
4.(y2 – 10)²=
5.(2x + √3.)²=
6.( x + 8)(x - 8) =
7.(6x - 9)(6x + 9) =
8.(7y + 1)( 1 - 7y) =
9.(10x² - 3 )(10x² + 3) =
10.(2 √5 +10)(2 √5 - 10) =
11.(x + 5)² =
12.(4x + 1)² =
13.(a – 9b)² =
14.(y do potęgi 3 + 10)² =15.
15.(8x + √2 )²=
16.( x + 9)(x - 9) =
17.(7x - 4)(7x + 4) =
18.(3y + 5)( 5 - 3y) =
19.(6x² - 10)(6x² + 10) =
20.(5 √6 + 7)( 5 √6 + 7) =

Answer 1

1.(x-7)² = x² - 14x + 49
2.(5x + 2)²= 25x² + 20x + 4
3.(3a - 4b)²= 9a² - 24ab + 16b²
4.(y2 – 10)²= y^4 - 20y² + 100
5.(2x + √3)²= 4x² + 4√3x + 3
6.( x + 8)(x - 8) = x² - 64
7.(6x - 9)(6x + 9) = 36x² - 81
8.(7y + 1)( 1 - 7y) = 7y - 49y² + 7 - 7y = -7 (7y² - 1)
9.(10x² - 3 )(10x² + 3) = 100x^4 - 9
10.(2 √5 +10)(2 √5 - 10) = (2√5)² - 10² = 20 - 100 = -80
11.(x + 5)² = x² + 10x + 25
12.(4x + 1)² = 16x² + 8x + 1
13.(a – 9b)² = a² - 18ab + 81b²
14.(y do potęgi 3 + 10)² =15  to jest równanie kwadratowe !!!
15.(8x + √2 )²= 64x² + 16√2x + 2
16.( x + 9)(x - 9) = x² - 81
17.(7x - 4)(7x + 4) = 49x² - 16
18.(3y + 5)( 5 - 3y) = 15y - 9y² + 25 - 15y = - ( 9y² - 25 )
 19.(6x² - 10)(6x² + 10) = 36x^4 - 100
20.(5 √6 + 7)( 5 √6 + 7) = (5√6 + 7)² = (5√6)² + 70√6 + 49 = 150 + 49 + 70√6 =
= 70√6 + 199