Question

Answer all questions please

Answer 1

Q1. Subtract 2x² - 5x + 10 from 5x² - 11x + 19

Solution :-

2x² - 5x + 10 - 5x² - 11x + 19

→ 2x² - 5x² - 5x - 11x + 10 + 19

→ - 3x² - 16x + 29

------------------

Q2. Two adjacent sides of a rectangle are 3x² - 5y² and 7x² - xy. Find the perimeter.

Solution :-

Length = 3x² - 5y²

Breadth =  7x² - xy

Perimeter = 2( length + breadth)

= 2( 3x² - 5y² + 7x² - xy)

= 2(10x² - 5y²- xy)

= 20x²- 10y² - 2xy

------------------

Q3. Add a + b and 3a + 2b

Solution :-

a + b + 3a + 2b

→ 4a + 4b

-----------------

Q4. Find the product 4a²b x ba³c

Solution :-

4a²b x ba³c

→ 4b x $ba^{2+3}$c

→ 4b x $ba^{5}$c

→ 4 x b² a^5 c

Answer 2

$\text{\underline{\underline{\large{Question\: number\:1.}}}}$

$\bf{\large{2 {x}^{2} - 5x + 10 - 5 {x}^{2} - 11x + 19}}$

$\bf{\large{2 {x}^{2} - 5 {x}^{2} - 5x - 11x + 10 + 19}}$

$\bf{\large{ - 3 {x}^{2} - 16x + 29}}$

$\text{\underline{\underline{\large{Question\: number\:2.}}}}$

$\bf{\red{\large{Length=3 {x}^{2} - 5 {x}^{2} }}}$

$\bf{\red{\large{Breadth=7 {x}^{2} - xy}}}$

$\text{\red{\large{Perimeter=2(Length+Breadth)}}}$

$\bf{\red{\large{2(3 {x}^{2} - 5 {y}^{2} + 7 {x}^{2} - xy)}}}$

$\bf{\red{\large{2(10 {x}^{2} - 5 {y}^{2} - xy)}}}$

$\bf{\red{\large{20 {x}^{2} - 10 {y}^{2} - 2xy}}}$

$\text{\underline{\underline{\large{Question\: number\:3.}}}}$

$\bf{\large{a + b + 3a + 2b}}$

$\bf{\large{4a+4b}}$

$\text{\underline{\underline{\large{Question\: number\:4.}}}}$

$\bf{\large{4 {a}^{2} b \times b {a}^{3} c}}$

$\bf{\large{4b \times b {a}^{2 + 3} c}}$

$\bf{\large{4b \times b { a}^{5} c}}$

$\bf{\large{4 \times b ^{2} {a}^{5} c}}$