Question

x²y + 2x²y(x + 4y) - 6x²y²(3x – 2xy) - 9x²y²​

Answer 1

$\mathtt{\huge{\underline{\red{Question\:?}}}}$

✴ x²y + 2x²y(x + 4y) - 6x²y²(3x – 2xy) - 9x²y²

$\mathtt{\huge{\underline{\purple{Answer:-}}}}$

✏ -4x²y + 2x³y - 18x³y²- 12x³y³

$\mathcal{\huge{\underline{\underline{\green{Solution:-}}}}}$

According to the question,

Factorising it :-

x²y + 2x²y(x + 4y) - 6x²y²(3x – 2xy) - 9x²y²

=> x²y + 2x³y + 4x²y² - 18x³y²- 12x³y³ - 9x²y²

=> x²y + 2x³y - 9x²y² + 4x²y² - 18x³y²- 12x³y³

=> x²y + 2x³y - 5x²y² - 18x³y²- 12x³y³

=> x²y + 2x³y - 5x²y - 18x³y²- 12x³y³

=> -4x²y + 2x³y - 18x³y²- 12x³y³

______________________________________

Answer 2

★ QUESTION :

➠ x²y + 2x²y(x + 4y) - 6x²y²(3x – 2xy) - 9x²y²

GIVEN :

➠ x²y + 2x²y(x + 4y) - 6x²y²(3x – 2xy) - 9x²y²

TO FIND :

➠ After factorizing x²y + 2x²y(x + 4y) - 6x²y²(3x – 2xy) - 9x²y² we will get = ?

STEP - BY - STEP EXPLAINATION :

➠x²y + 2x²y(x + 4y) - 6x²y²(3x – 2xy) - 9x²y²

➠x²y + 2x³y + 4x²y² - 18x³y² - 12x³y³ - 9xy²y²

➠x²y + 2x³y - 9x²y² + 4x²y² - 18x³y² - 12x³y³

➠x²y + 2x³y - 5x²y² - 18x³y² - 12x³y³

➠ -4x²y + 2x³y - 18x³y² - 12x³y³

||____________________________||

⭐ ADDITIONAL INFORMATION ⭐

||____________________________||

★ What is 'IDENTITY' ?

A statement of equality which holds for all values of the variable is called an identity.

★ Types of algebraic expression.

There are four types of algebraic expression, namely they are as follows :

• Monomials – Monomials consist of one algebraic expression.

• Binomial – Binomials consists of two algebraic expression.

• Trinomial – Trinomial consists of three algebraic expression.

• Quadrinomial – Quadrinomial consists of four algebraic expression.