Question

Evaluate using identities (2x+5y)²​

Answer 1

Step-by-step explanation:

${(2xy + 5y)}^{2}$

$using = {(a + b)}^{2} = {a}^{2} + {b}^{2} + 2ab \\ = {(2xy)}^{2} + {(5y)}^{2} + 2(2xy)(5y) \\ = 4 {x}^{2} {y}^{2} + 25 {y}^{2} + 20x {y}^{2}$

${y}^{2} (4 {x}^{2} + 20x + 25)$

Hope it helps you dear...!!

Answer 2

• As per the data given in the question, we have to solve the algebraic identities.

      Given data:- $(2x+5y)^{2}.$

       To find:- Solve algebraic identities.

       Solution:-

• As we observe the given identity holds for every value of its variables, then we will put the value in one side of the equality with the other side.
• Here we will use $(a+b)^{2}$ algebraic identities for expansion.
• As we know that $(a+b)^{2}=a^{2} +2ab+b^{2}.$

        The expansion of algebraic identities are

       $=(2x+5y)^{2}\\= (2x)^{2} +2\times 2x\times\ 5y+(5y)^{2} \\=4x^{2} +20xy+25y^{2}.$

   Hence expansion will be $4x^{2} +20xy+25y^{2}.$