Question

1.(x + 5)² =
2. (7a + b)² =
3. (4x – y)² =
4. (2x + 3) (2x + 5) =
5. (y – 12) (y + 7) =
6. (2x + 3y) (2x – 3y) =​

Answer 1

Respuesta:

Explicación paso a paso:

1.(x + 5)² =

$(x+5) (x+5)\\= x^{2} +5^{2} +5x+5x\\=x^{2} +25 +2(5x)\\=x^{2} + 10x+25$

2. (7a + b)² =

$(7a + b)(7a + b)\\= (7a)^{2} + 7ab+7ab+b^{2} \\= 49a^{2} +14ab+b^{2}$

3. (4x – y)² =

$(4x - y)(4x- y)\\=(4x)^{2} +4xy+4xy+ y^{2} \\= 15x^{2} +8xy+ y^{2}$

4. (2x + 3) (2x + 5) =

$(2x + 3) (2x + 5)\\(2x)^{2} +2x(5)+3(2x)+3(5)\\=4x^{2} +10x +6x+15\\ =4x^{2} +16x+15$

5. (y – 12) (y + 7) =

$(y- 12) (y + 7)\\=y^{2} -12y+7y-12(7)\\=y^{2}-5y-84$

6. (2x + 3y) (2x – 3y)

$(2x + 3y) (2x -3y)\\= (2x)^{2} +3y(2x)-3y(2x)-(3y)^{2} \\ =4x^{2}+6xy-6xy -9y^{2}\\=4x^{2} -9y^{2}$