Question

7×45+27×53+7×55+27×46 Please Factorize this with explaination

Answer 1

[tex]7 \times 45 + 27 \times 53 + 7 \times 55 + 27 \times 47 \\ 7 \times 45 + 7 \times 55 + 27 \times 53 + 27 \times 47 \\ 7(45 + 55) + 27(53 + 47) \\ 7 \times 100 + 27 \times 100


100(27+7)
3400

Answer 2

Hi ,

7 × 45 + 27 × 53 + 7 × 55 + 27 × 47

= ( 7 × 45 ) + ( 7 × 55 ) + (27×53)+(27×47 )

Rearranging the terms

= 7(45 + 55 ) + 27(53 + 47)

[ Distributive property ]

= 7 × 100 + 27 × 100

= 100 ( 7 + 27 )

= 100 × 34

= 3400




I hope this helps you.

:)