Question

using identities find the following product
a) (3a+7)(3a+8)​

Answer 1

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➠ Using identities find the following product

• (3a+7)(3a+8)

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❏ Algebraic identities that are frequently used in mathematics to simply our calculations and get our answer in short period of time.

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❏ Here are some important identities used in daily mathematics.

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$\star \; \; \; \; \; \; \; \; \; \boxed { \bold { \orange { :\longmapsto \; (a+b)^{2} =a^{2} + b^{2} + 2ab }}}$

$\star \; \; \; \; \; \; \; \; \; \boxed { \bold { \pink { :\longmapsto \; (a-b)^{2} =a^{2} + b^{2} - 2ab }}}$

$\star \; \; \; \; \; \; \; \; \; \boxed { \bold { \orange { :\longmapsto \; a^{2}-b^{2} = (a+b)(a-b) }}}$

$\star \; \; \; \; \; \; \; \; \; \boxed { \bold { \pink { :\longmapsto \; (x+a)(x+b) = x^{2} + (a+b)x + ab }}}$

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$\underline{\boxed{\bold{ \bigstar \; Answer \; \bigstar }}}$  

Let's Start !

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Let's use last identity mentioned above to get our answer.

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$\star \; \; \; \; \; \; \; \; \; \boxed { \bold { \pink { :\longmapsto \; (x+a)(x+b) = x^{2} + (a+b)x + ab }}}$

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$\star \implies \; (3a+7)(3a+8) = (3a)^{2} + (7+8)(3a) + (7 \times 8)$

$\star \implies \; (3a+7)(3a+8) = 9a^{2} + (15)(3a) + (56)$

$\star \implies \; (3a+7)(3a+8) = 9a^{2} +45a + 56$

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$\boxed{\boxed{\bold{\therefore (3a+7)(3a+8)  = 9a^{2} +45a + 56 }}}$

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Hope this helps u.../

【Brainly Advisor】

Answer 2

HOPE IT HELPS

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