Question

L IN THE BLANK) ( x + 3y )² = x² + ________ + 9y² *

Answer 1

Answer:

6xy

Step-by-step explanation:

using the formula, (a+b)² = a² + 2ab + b²,

(x+3y)² = x² + 2(x)(3y) + 9y² = x² + 6xy +9y²

therefore, 6xy come is place of the blank.

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Answer 2

Answer:

$6xy$

Explanation:

To find the square of a binomial, use the $(a+b)^{2}$  formula. This formula can also be used to factories certain trinomials. One of the algebraic identities is this formula. The square of the sum of two terms is calculated using the $(a+b)^{2}$ formula.

Step by Step Explanation :

By Given,

$(x+3y)^{2} = x^{2} + --- +9y^{2}$

Assume a = x

             b = 3y

$(a + b)^{2} = a^{2} + 2ab + b^{2}$   ( to find using this formula)

there fore,

apply a & b value to this formula,

$(x + 3y)^{2} = x^{2} +2(x)(3y) +(3y)^{2}$

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

So, Missed element is - 6xy