Step-4

Title: Simplify the expression

Grade: 9-a Lesson: S2-L3

Explanation: Hello Students, time to practice and review the steps for the problem.

Lesson Steps

Step Type Explanation Answer

1

Problem

Simplify the expression:
\$((2x-5y) + (x+3y))^2 \$

2

Formula:

By using algebraic

\$ (a + b)^2 = a^2 + b^2 + 2ab \$

3

Step

by substuting

\$ (2x-5y)^2 + (x+3y)^2 + 2 ((2x-5y)(x+3y))\$

4

Formula:

By using algebraic

\$ (a + b)^2 = a^2 + b^2 + 2ab \$

5

Step

by simplifying

\$ (a - b)^2 = a^2 + b^2 - 2ab \$

6

Step

by simplfying

\$ 4x^2+25y^2-20xy + x^2+9y^2+6xy + 2 (2x^2+6xy-5xy-15y^2) \$

7

Step

After simplification we get

\$ 5x^2+34y^2-14xy+4x^2+12xy-10xy-30y^2 \$

8

Step

After simplification we get

\$ 9x^2+4y^2-12xy\$

9

Answer

B


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