Question

Please help.
Is algebra.

Answer 1

4. b)
`4x^2-20xy+25y^2`

5. b)
`x^2+14x+49`

Explanation:

4.
`(2x-5y)^2`

First, one must rewrite the exponential equation as a multiplication problem,

`(2x-5y)(2x-5y)`

Now distribute, multiply every term in one of the parenthesis by every term in the other parenthesis,

`=(2x-5y)(2x-5y)\\\\=(2x)(2x)+(2x)(-5y)+(-5y)(2x)+(-5y)(-5y)`

Now simplify the given expression,

`=(2x)(2x)+(2x)(-5y)+(-5y)(2x)+(-5y)(-5y)\\\\=4x^2-10xy-10xy+25y^2`

Combine like terms,

`=4x^2-20xy+25y^2`

5.
`(x+7)^2`

To solve this problem, one should follow the same series of steps as they did to solve the last expression. First, rewrite the exponential expression as a multiplication problem.

`(x+7)(x+7)`

Now distribute, multiply every term in one of the parenthesis by every term in the other parenthesis,

`=(x)(x)+(7)(x)+(7)(x)+(7)(7)`

Simplify the expression,

`=(x)(x)+(7)(x)+(7)(x)+(7)(7)\\\\=x^2 + 7x + 7x + 49`

Finally, combine like terms,

`=x^2+14x+49`

Answer 2

#4 is B

#5 is also B

Explanation:

i big brain