Question

simplify (4a2+3a-5)(2a-3)​

Answer 1

Given to simplify

(4a² + 3a - 5 ) (2a -3 )

We have to multiply 2a-3 with 4a² + 3a - 5

2a ( 4a² + 3a - 5 ) -3( 4a² + 3a - 5 )

8a³ + 6a² - 10a -12a² - 9a + 15

Simplifying value

Keep like terms together

8a³ + 6a² - 12a² -10a - 9a + 15

8a³ - 6a² - 19a + 15

so,

(4a² + 3a - 5 ) (2a -3 ) = 8a³ - 6a² - 19a + 15

Know more Algebraic Identities:-

(a+ b)² = a² + b² + 2ab

( a - b )² = a² + b² - 2ab

( a + b )² + ( a - b)² = 2a² + 2b²

( a + b )² - ( a - b)² = 4ab

( a + b + c )² = a² + b² + c² + 2ab + 2bc + 2ca

a² + b² = ( a + b)² - 2ab

(a + b )³ = a³ + b³ + 3ab ( a + b)

( a - b)³ = a³ - b³ - 3ab ( a - b)

If a + b + c = 0 then a³ + b³ + c³ = 3abc

Answer 2

$\small\underline{{{\bold{{simplification}}}}}.$

$➵ \:( {4a}^{2} + 3 { a}^{2} )(2a - 3)$

$\small\underline{{{\bold{{step \: bystep \: solution - }}}}}.$

$➠4(2−3)⋅2+ 3(2−3) - 5(2a - 3)$

$➠83−62−19+15$

$\small\underline{{{\bold{{combined \: like \: terms}}}}}.$

$➠83−122+62−9−10+15$

$➠83a3−6a2−19a−+15$