Respuesta :

Answer:

4. [tex](x + y)(x + 5y)[/tex]

5. [tex]\left(2m+3\right)\left(m-4\right)[/tex]

Step-by-step explanation:

4.

First break it into groups:

[tex]\left(x^2+xy\right)+\left(5xy+5y^2\right)[/tex]

Then factor out x from the first parentheses and 5y from the second one:

[tex]x(x+y)[/tex] [tex]+[/tex] [tex]5y\left(x+y\right)[/tex]

Next, factor out x + y from the equation. This gives you:

[tex]\left(x+y\right)\left(x+5y\right)[/tex]

5.

Break it into groups like the last one:

[tex]\left(2m^2+3m\right)+\left(-8m-12\right)[/tex]

Then, factor out m from the first parentheses and -4 from the second parentheses:

[tex]m\left(2m+3\right)-4\left(2m+3\right)[/tex]

Lastly, factor out 2m + 3 from the equation:

[tex]\left(2m+3\right)\left(m-4\right)[/tex]

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