Question

10. Verify the following
1) (-25)[(-7) + (-15)] = [(-25) * (-7)] + [(-25) × (-15)]​

Answer 1

Answer:

Ok good question

Step-by-step explanation:

$GIVEN :</p><p></p><p>The following equations are i) (-25) x [(-7) + (-15)] = [(-25) x (-7)] + [(-25) x (-15)]</p><p></p><p>ii) (-7) x [(-8) + 9] = [-7 x (-8)] + [(-7) x 9]</p><p></p><p>TO VERFIY :</p><p></p><p>The following equations i) (-25) x [(-7) + (-15)] = [(-25) x (-7)] + [(-25) x (-15)]</p><p></p><p>ii) (-7) x [(-8) + 9] = [-7 x (-8)] + [(-7) x 9]</p><p></p><p>SOLUTION :</p><p></p><p>Given equations are i) (-25) x [(-7) + (-15)] = [(-25) x (-7)] + [(-25) x (-15)]</p><p></p><p>ii) (-7) x [(-8) + 9] = [-7 x (-8)] + [(-7) x 9]</p><p></p><p>Now verify the given equations.</p><p></p><p>i) (-25) x [(-7) + (-15)]=[(-25) x (-7)] + [(-25) x (-15)]</p><p></p><p>LHS (-25) x [(-7) + (-15)]</p><p></p><p>=(-25)[-22]=(−25)×[−22]</p><p></p><p>(-25) x [ (-7) + (-15)] =550(−25)x[(−7)+(−15)]=550 =LHS</p><p></p><p>RHS [(-25) x (-7)] + [(-25) x (-15)]</p><p></p><p>=175+375</p><p></p><p>[(-25) x (-7)] + [(-25) x (-15)]=550=RHS</p><p></p><p>∴ LHS=RHS</p><p></p><p>∴ (-25) x [(-7) + (-15)]= [(-25) x (-7)] + [(-25) x (-15)] is verified.</p><p>ii) (-7) x [(-8) + 9] = [-7 x (-8)] + [(-7) x 9]</p><p>Taking LHS (-7) x [(-8) + 9]</p><p></p><p>=(-7)\times (1)=(−7)×(1)</p><p></p><p>(-7) x [(-8) + 9]=-7=LHS</p><p></p><p>Now RHS [-7 x (-8)] + [(-7) x 9]</p><p></p><p>=(56)+(-63)</p><p></p><p>=-7</p><p></p><p>[-7 x (-8)] + [(-7) x 9]=-7=RHS</p><p></p><p>∴ LHS=RHS</p><p>∴ (-7) x [(-8) + 9] = [-7 x (-8)] + [(-7) x 9]</p><p>Hence verified.$

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Answer 2

Answer:

(-25)[(-7)+(-15)] = [(-25)×(-7)]+[(-25)×(-15)]

Or,(-25)[-7-15]=[+(25*7)]+[+(25×15)]

Or,(-25)×(-22)=+175+375

Or,+(25×22)=+550

Or,+550=+550

Or,1=1(Ans)

Hence,Verified

Step by Step explanation: