Question

Упростите выражение 2x(2x+3y)-( x+y)2(2-в квадрате )

Answer 1

2x(2x+3y)-(x+y)²=4x²+6xy-x²-2xy-y²=3x²+4xy-y²

Answer 2

I can help you with simplifying algebraic expressions. Here is the answer:

$$2x(2x+3y)-(x+y)^2=4x^2+6xy-x^2-2xy-y^2=3x^2+4xy-y^2$$

To simplify this expression, you need to follow these steps:

- Apply the distributive property to the first term: $$2x(2x+3y)=4x^2+6xy$$ - Apply the exponent rule to the second term: $$(x+y)^2=(x+y)(x+y)=x^2+xy+xy+y^2=x^2+2xy+y^2$$ - Subtract the second term from the first term: $$4x^2+6xy-x^2-2xy-y^2$$ - Combine the like terms: $$3x^2+4xy-y^2$$

I hope this helps. If you have any other questions, feel free to ask me.Ответь+подробно.+Упростите+выражение++2x(2x+3y)-(+x+y)2(2-в+квадрате+)