Math, asked by Anonymous, 1 month ago

Add
i. 9p + 16p;13p+2p
ii. 2a+6b+8c;16a+13c+18b
iii. 13x^2 - 12y; 6x - 8y

Answers

Answered by maculayroshan15

Step-by-step explanation:

i . 9p + 16p ; 13p + 2p

answer . 25p ; 15p ( ÷5)

5p ; 3p

ii . 2a+6b+8c ; 16a+18b+13c

answer . 18a + 24b + 21c (÷3)

6a + 8b + 7c

Answered by ᏞovingHeart

${\bold \bullet \; }\:{\underline{\underline{\pmb{\frak{\red{Required \; answer\: :-}}}}}}$

$\sf{\star\; 9p + 16p\;;13p+2p}$

$\sf{= (9p + 16p) + (13 + 2q)}\\\sf{= 9p + 16q + (13p + 2q) }\\\sf{= 9p + 13p + 16q + 2q}\\{= \underline{\boxed{\sf{\red{22p + 18q}}}}}$

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$\sf{\star \; 2a+6b+8c \; ;16a+13c+18b}$

$\sf{= (2a + 6b +8c) + (16a+13c+18b)}\\\sf{= 2a + 6b + 8c + 16a + 13c + 18b}\\\sf{= 2a + 16a + 6b + 18b+ 8c + 13c}\\{= \underline{\boxed{\sf{18a+24b+21c}}}}$

$\\$

$\sf{\star \; 13x^2 - 12y\; ; 6x - 8y}$

$\sf{= (13x^2 - 12y) + (6x^2 - 8y^2)}\\\sf{= 13x^2 - 12y^2 + 6x^2 - 8y^2}\\\sf{= 13x^2 - 6x^2 + 12y^2 - 18y^2}\\{=\underline{\boxed{\sf{\red{19x^2 - 20y^2}}}}}$

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$\qquad \quad \boxed{\underline{\underline{\purple{\bf{\bigstar \: More \: to \: know \: \bigstar}}}}}$

★ Addition of αlgebric expressions

• Addition of monomiαls

Like terms αre αdded αs we would αdd up thing of the sαme kind.

• Addition of binomiαl

To αdd like terms, we αdd their coefficient & write the vαriαble αfter their sum.
In 3x + y teh two terms αre not like terms. Hence, their sum cαn oonly be written αs 3x + 7y or, 7y + 3x.